Finding the Third Proportional to 412 and 744
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Solution
The third proportional to 412 and 744 is: 1,343.53
Step by Step Solution
- Step 1: Write the proportion equation
412 : 744 = 744 : x - Step 2: Convert to fraction form
412/744 = 744/x - Step 3: Cross multiply
412x = 744 × 744 - Step 4: Simplify right side
412x = 553,536 - Step 5: Solve for x
x = 553,536/412 - Step 6: Final answer
x = 1,343.53
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.