Example of Booster with SRAAM (R-60, R-73) : Possible Solutions for Long-range Missiles?

Although, it is much like 'field-modification' of old inventory SRAAMs, R-60 or R-73 with booster could be noticeable. It is modified Surface-to-Air missile version of R-60 and R-73; I could not find any related real world record of these missiles. 

Reason I bring this missiles for the Blog is that kind of approach could be a solution for long-range air-to-air missiles. Actually, there were projects that booster-ed air-to-air missile like AIM-152, however it never went production level. 

LREW is now developed for new inventory of USAF, and concept art is similar to booster-ed version of CUDA sized missile. Also, below link argued R-74E-PD as new type of long range missiles. 

http://www.ausairpower.net/APA-NOTAM-200408-1.html