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Finding the Third Proportional to 534,613 and 706,663

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Solution

The third proportional to 534,613 and 706,663 is: 934,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,613 : 706,663 = 706,663 : x
  2. Step 2: Convert to fraction form
    534,613/706,663 = 706,663/x
  3. Step 3: Cross multiply
    534,613x = 706,663 × 706,663
  4. Step 4: Simplify right side
    534,613x = 499,372,595,569
  5. Step 5: Solve for x
    x = 499,372,595,569/534,613
  6. Step 6: Final answer
    x = 934,082.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.