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Finding the Third Proportional to 499,734 and 748,780

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Solution

The third proportional to 499,734 and 748,780 is: 1,121,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,734 : 748,780 = 748,780 : x
  2. Step 2: Convert to fraction form
    499,734/748,780 = 748,780/x
  3. Step 3: Cross multiply
    499,734x = 748,780 × 748,780
  4. Step 4: Simplify right side
    499,734x = 560,671,488,400
  5. Step 5: Solve for x
    x = 560,671,488,400/499,734
  6. Step 6: Final answer
    x = 1,121,939.85

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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.