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Finding the Third Proportional to 492,755 and 686,532

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Solution

The third proportional to 492,755 and 686,532 is: 956,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,755 : 686,532 = 686,532 : x
  2. Step 2: Convert to fraction form
    492,755/686,532 = 686,532/x
  3. Step 3: Cross multiply
    492,755x = 686,532 × 686,532
  4. Step 4: Simplify right side
    492,755x = 471,326,187,024
  5. Step 5: Solve for x
    x = 471,326,187,024/492,755
  6. Step 6: Final answer
    x = 956,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.