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Finding the Third Proportional to 499,140 and 748,467

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Solution

The third proportional to 499,140 and 748,467 is: 1,122,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,140 : 748,467 = 748,467 : x
  2. Step 2: Convert to fraction form
    499,140/748,467 = 748,467/x
  3. Step 3: Cross multiply
    499,140x = 748,467 × 748,467
  4. Step 4: Simplify right side
    499,140x = 560,202,850,089
  5. Step 5: Solve for x
    x = 560,202,850,089/499,140
  6. Step 6: Final answer
    x = 1,122,336.12

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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.