Finding the Third Proportional to 412 and 539
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Solution
The third proportional to 412 and 539 is: 705.15
Step by Step Solution
- Step 1: Write the proportion equation
412 : 539 = 539 : x - Step 2: Convert to fraction form
412/539 = 539/x - Step 3: Cross multiply
412x = 539 × 539 - Step 4: Simplify right side
412x = 290,521 - Step 5: Solve for x
x = 290,521/412 - Step 6: Final answer
x = 705.15
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.