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Finding the Third Proportional to 486,332 and 727,552

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Solution

The third proportional to 486,332 and 727,552 is: 1,088,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,332 : 727,552 = 727,552 : x
  2. Step 2: Convert to fraction form
    486,332/727,552 = 727,552/x
  3. Step 3: Cross multiply
    486,332x = 727,552 × 727,552
  4. Step 4: Simplify right side
    486,332x = 529,331,912,704
  5. Step 5: Solve for x
    x = 529,331,912,704/486,332
  6. Step 6: Final answer
    x = 1,088,416.79

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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.