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For the most part you get along very harmoniously. You are both idealistic and you prefer to see the good and noble and beautiful in life and in people (even when that means ignoring the plain facts about a person!). You are both open and tolerant, and you enjoy mixing with others, going out, and socializing.
There are differences between you, though. Sagittarius is quite candid, often to the point of being blunt, though in a good-natured manner, while Libra is generally very diplomatic and gracious. Sagittarius has strong convictions and beliefs and expresses them very openly, while Libra may not take a strong stance to avoid offending someone. Libra is more personable and more aware of other people's responses, while Sagittarius is cheerfully oblivious to others' responses and feelings at times. Sagittarius is sometimes boisterous and outrageous, while Libra's behavior is always in good taste.
Also, Libra needs companionship and a lot of affection, and may feel insecure without a close partner. Sagittarius is more independent and sometimes enjoys going off on a solitary adventure.