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Finding the Third Proportional to 534,631.50 and 706,686.75

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Solution

The third proportional to 534,631.50 and 706,686.75 is: 934,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,631.50 : 706,686.75 = 706,686.75 : x
  2. Step 2: Convert to fraction form
    534,631.50/706,686.75 = 706,686.75/x
  3. Step 3: Cross multiply
    534,631.50x = 706,686.75 × 706,686.75
  4. Step 4: Simplify right side
    534,631.50x = 499,406,162,625.56
  5. Step 5: Solve for x
    x = 499,406,162,625.56/534,631.50
  6. Step 6: Final answer
    x = 934,112.87

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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.