I love my .340, but every now and then I wish I had the .338-378, though I don't know why. I can shoot my .340 accurately as far as my scope will allow, and for a few bucks for different scope mounts I could reach out much farther.
Just for fun, consider the range of bullet weights available in the .338 caliber, and imagine how much fun it is to shoot them. You have amazing velocities if you choose with 150 grain bullets, or you can deliver up to 300 grains and awesome energy. I love big guns!