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Finding the Third Proportional to 432,272 and 694,544

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Solution

The third proportional to 432,272 and 694,544 is: 1,115,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,272 : 694,544 = 694,544 : x
  2. Step 2: Convert to fraction form
    432,272/694,544 = 694,544/x
  3. Step 3: Cross multiply
    432,272x = 694,544 × 694,544
  4. Step 4: Simplify right side
    432,272x = 482,391,367,936
  5. Step 5: Solve for x
    x = 482,391,367,936/432,272
  6. Step 6: Final answer
    x = 1,115,944.05

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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.