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Finding the Third Proportional to 499,729.50 and 748,774.13

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Solution

The third proportional to 499,729.50 and 748,774.13 is: 1,121,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,729.50 : 748,774.13 = 748,774.13 : x
  2. Step 2: Convert to fraction form
    499,729.50/748,774.13 = 748,774.13/x
  3. Step 3: Cross multiply
    499,729.50x = 748,774.13 × 748,774.13
  4. Step 4: Simplify right side
    499,729.50x = 560,662,690,269.52
  5. Step 5: Solve for x
    x = 560,662,690,269.52/499,729.50
  6. Step 6: Final answer
    x = 1,121,932.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.