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Finding the Third Proportional to 432,240 and 694,493

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Solution

The third proportional to 432,240 and 694,493 is: 1,115,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,240 : 694,493 = 694,493 : x
  2. Step 2: Convert to fraction form
    432,240/694,493 = 694,493/x
  3. Step 3: Cross multiply
    432,240x = 694,493 × 694,493
  4. Step 4: Simplify right side
    432,240x = 482,320,527,049
  5. Step 5: Solve for x
    x = 482,320,527,049/432,240
  6. Step 6: Final answer
    x = 1,115,862.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.