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Jamie has it. I'm usually long-winded, but will condense his reply: If you can see your front sight, and you can see your target, and your gun is capable of the consistency needed, you can train yourself to hit at long range.
And, don't forget Elmer Keith's deliberate and witnessed killing of a mule deer at 600 yards with a .44 pistol.
That is an amazing shot.
At 500 yds with a 250gr bullet you have a 200 inch (16+feet) hold over and energy is down around 400lbs, amazing shot.