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Finding the Third Proportional to 432,228 and 694,474

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Solution

The third proportional to 432,228 and 694,474 is: 1,115,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,228 : 694,474 = 694,474 : x
  2. Step 2: Convert to fraction form
    432,228/694,474 = 694,474/x
  3. Step 3: Cross multiply
    432,228x = 694,474 × 694,474
  4. Step 4: Simplify right side
    432,228x = 482,294,136,676
  5. Step 5: Solve for x
    x = 482,294,136,676/432,228
  6. Step 6: Final answer
    x = 1,115,832.70

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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.