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Finding the Third Proportional to 432,244 and 694,496

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Solution

The third proportional to 432,244 and 694,496 is: 1,115,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,244 : 694,496 = 694,496 : x
  2. Step 2: Convert to fraction form
    432,244/694,496 = 694,496/x
  3. Step 3: Cross multiply
    432,244x = 694,496 × 694,496
  4. Step 4: Simplify right side
    432,244x = 482,324,694,016
  5. Step 5: Solve for x
    x = 482,324,694,016/432,244
  6. Step 6: Final answer
    x = 1,115,862.09

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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.