Finding the Third Proportional to 277 and 527
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Solution
The third proportional to 277 and 527 is: 1,002.63
Step by Step Solution
- Step 1: Write the proportion equation
277 : 527 = 527 : x - Step 2: Convert to fraction form
277/527 = 527/x - Step 3: Cross multiply
277x = 527 × 527 - Step 4: Simplify right side
277x = 277,729 - Step 5: Solve for x
x = 277,729/277 - Step 6: Final answer
x = 1,002.63
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.