Weird math question with patterns

Lukib32

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It roughly translates from Chinese to: According to the rules, fill in the missing boxes. Think; Utilise multiplication, division or addition.
This is all the information given.
 

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It roughly translates from Chinese to: According to the rules, fill in the missing boxes. Think; Utilise multiplication, division or addition.
This is all the information given.
There is no rule here; they are asking you to guess the unstated rule they used. This will be entirely a guess, so there are probably more than one answer.

My first thought was that the bottom number is always 3 times the middle number; but that can't work for the last.

Then I saw that the bottom number is the square root of the sum of the top numbers, times the middle number (since that square root in the first two examples is always 3). But they don't allow a square root, and the third would not be nice.

I see at least one possibility using only the allowed operations, and related to these ideas. I have no idea whether this is what they intend!
 
3, 12, 5 ==> 19.173

__, 1, 3 ==> 3 leads to 4.128049

I'll give you as much information as you gave us concerning how this is done.
 
The rule mentioned in my last paragraph yields whole numbers. There may well be others.
 
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