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Finding the Third Proportional to 484,350 and 664,882

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Solution

The third proportional to 484,350 and 664,882 is: 912,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,350 : 664,882 = 664,882 : x
  2. Step 2: Convert to fraction form
    484,350/664,882 = 664,882/x
  3. Step 3: Cross multiply
    484,350x = 664,882 × 664,882
  4. Step 4: Simplify right side
    484,350x = 442,068,073,924
  5. Step 5: Solve for x
    x = 442,068,073,924/484,350
  6. Step 6: Final answer
    x = 912,703.78

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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.