Finding the Third Proportional to 396 and 766
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Solution
The third proportional to 396 and 766 is: 1,481.71
Step by Step Solution
- Step 1: Write the proportion equation
396 : 766 = 766 : x - Step 2: Convert to fraction form
396/766 = 766/x - Step 3: Cross multiply
396x = 766 × 766 - Step 4: Simplify right side
396x = 586,756 - Step 5: Solve for x
x = 586,756/396 - Step 6: Final answer
x = 1,481.71
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.