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You can download the update by heading over to Menu > Settings > About Phone > System Updates > Update Android.
The Galaxy S III is one of the hottest Android handsets in the market. While it doesn’t share the quad-core processor of the international Samsung Galaxy S III, it has a large 4.8 inch Super AMOLED HD display, 16GB of internal storage which can be expanded through microSD and an 8 megapixel camera capable of 1080p HD video.
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The Galaxy S III maybe running the latest version of Android Ice Cream Sandwich, but I am sure many users are already craving access to the newer, faster, smoother Android 4.1 Jelly Bean. You will have to stay satisfied with ICS for now folks.
source – SprintCommunity