Ramjets only start working at speeds of mach 2-3 so the other two engines would have to get this plane to that high speed first. Not sure about that, however I saw a post somewhere sometime in the past that described a 3 engine system. The middle engine could produce a small amount of thrust but its main job was to generate electrical power in order to power the compressor fans of the other two main engines when cruising, in effect giving them a variable bypass ratio. So when the aircraft is taking off, all three engines are producing thrust, then when the plane reaches cruising altitiude, the middle engine cuts thrust and starts generating power to help turn the other two engines' fans which also reduce fuel intake simultaneously. This gets long range fuel efficient subsonic cruise. I think that was the gist of what I saw.