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Finding the Third Proportional to 534,606.75 and 706,654.13

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Solution

The third proportional to 534,606.75 and 706,654.13 is: 934,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,606.75 : 706,654.13 = 706,654.13 : x
  2. Step 2: Convert to fraction form
    534,606.75/706,654.13 = 706,654.13/x
  3. Step 3: Cross multiply
    534,606.75x = 706,654.13 × 706,654.13
  4. Step 4: Simplify right side
    534,606.75x = 499,360,052,379.52
  5. Step 5: Solve for x
    x = 499,360,052,379.52/534,606.75
  6. Step 6: Final answer
    x = 934,069.86

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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.