Yup, same software. But the question is, did you update the software in the past two weeks? If you haven't, you will need to before you buy any more books from the Sony store.
Also, if you want to share books, the 300 will need to be authorized on the same account as the 505 account. Make sure you update the software if you haven't already, then plug the new 300 in. It should prompt you to authorize it, but if it doesn't, go under My Account, and authorize devices.
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