Assuming you are shooting over a good set of flags, an experienced BR Shooter should be able to place five shots in a .400 group at 300 yards if he is taking his time. If you are on the clock, Match Reports through the years say this is unrealistic.
Speedy proved this year that you can shoot five groups under 1 inch at Orangeburg. A lot of VERY good shooters also proved that it is quite easy to park one out there that is over 1.5 inch’s.
Of course, assuming you have a well tuned rifle, condition reading is everything. At 300, you are stretching one’s ability to engage in precision flag reading. Most shooters brains can only comprehend so much information. Simply put, you do the best you can and under ideal conditions, get your five shots on the target as quickly as possibly before the condition changes.
That can work until you realize that in Score Shooting, you have to move that rifle after each shot.
There are many that think that going from 100 to 200 is a simple matter of doubling the size of the group, and going from 100 to 300 is simply a matter of tripling the size of the group. Anybody that is involved in Competitive Disciplines know this is a fallacy. It simply does not work that way.
The best example of this is in NBRSA and IBS Score Shooting. It is not uncommon for competitors to shoot 250 with an average X count of at least 16 at 100 yards. The Shooters at the top ore shooting 20+ X’s on a regular basis.
At 200 yards, the 10 ring and X are twice as big. Theoretically, since the target is twice as big, and the distance is JUST twice as far, you should be able to duplicate the 100 yard effort. But the scores, generally the X count, drops on average twice as much. Heck, at the 2025 NBRSA Score Nationals, only 3 shooters managed to hit the Ten Ring 50 times, much less hit that darned X enough times to make a difference.
Then go out to 300.
Think about that while remembering that we are shooting the most accurate rifles on the Planet.
But getting back to the OP question, you would hope your Rifle has the ability to shoot sub .400 groups at 300. Plug you into that equation, and life gets a lot more interesting.