The Economist and similar magazines are really only helpful if you aren't a reader. Did you grow up reading books? Are you comfortable reading, intently, for long periods of time? If yes, then you don't necessarily have to focus on reading these magazines.
With that said, last year I purchased a subscription to The Economist and to The New Yorker in preparation. Most of the time, with work, classes, studying, the last thing I wanted to do for my free time was read these magazines for an hour. Besides, how do you gauge your level of comprehension, which the verbal section tests?
My advice is to pick up a series of books you really enjoy and read them for joy. Read each word and get your brain and eyes used to focusing for a solid hour. Don't skip ahead and just have fun reading. That has been the best help for verbal, for me.