Finding the Third Proportional to 292 and 487
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Solution
The third proportional to 292 and 487 is: 812.22
Step by Step Solution
- Step 1: Write the proportion equation
292 : 487 = 487 : x - Step 2: Convert to fraction form
292/487 = 487/x - Step 3: Cross multiply
292x = 487 × 487 - Step 4: Simplify right side
292x = 237,169 - Step 5: Solve for x
x = 237,169/292 - Step 6: Final answer
x = 812.22
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.