math teacher, are the OAl numbers you initially listed the size of the empty cases or COLs with a bullet seated?
I ask because the 7mm Rem Mag, .264 Win Mag and .338 Win Mag empty cases, resized and trimmed, should all be 2.500." The measurement from the base to the beginning of the shoulder in all 3 are the same: 2.0401" (altho that number is 2.0400 for the .338 in one book) The shoulder angle is 25 degrees for all 3. They differ (in caliber, so the mouth diameter differs) in case measurement from the base to the beginning of the neck:
7mm RM = 2.2288"
.264 RM = 2.2459"
.338 WM = 2.1698
That may prevent them from being chambered in the other rifles.
I say that because the same issues appear with the .270 and 25-06. I cannot chamber a resized, trimmed empty case of either caliber into the other rifle.
Both cases measure 1.9480" base to shoulder; shoulder angle is the same: 17 degrees, 30 min. The OAL of the .270 case measures 2.540" and the 25-06 is 2.494" but once again, the base to the beginning of the neck differs:
.270 Win= 2.1557"
.25-06 = 2.1858"
So even though the 25-06 is shorter than the .270 (OAL), the base to shoulder is longer and that may be why it will not chamber in the .270.
As well the .270 simply will not chamber in the .25-06 -but maybe because the OAL is longer-?
Is this what you had in mind?