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Finding the Third Proportional to 484,353 and 664,887

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Solution

The third proportional to 484,353 and 664,887 is: 912,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,353 : 664,887 = 664,887 : x
  2. Step 2: Convert to fraction form
    484,353/664,887 = 664,887/x
  3. Step 3: Cross multiply
    484,353x = 664,887 × 664,887
  4. Step 4: Simplify right side
    484,353x = 442,074,722,769
  5. Step 5: Solve for x
    x = 442,074,722,769/484,353
  6. Step 6: Final answer
    x = 912,711.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.