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Finding the Third Proportional to 432,246 and 694,499

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Solution

The third proportional to 432,246 and 694,499 is: 1,115,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,246 : 694,499 = 694,499 : x
  2. Step 2: Convert to fraction form
    432,246/694,499 = 694,499/x
  3. Step 3: Cross multiply
    432,246x = 694,499 × 694,499
  4. Step 4: Simplify right side
    432,246x = 482,328,861,001
  5. Step 5: Solve for x
    x = 482,328,861,001/432,246
  6. Step 6: Final answer
    x = 1,115,866.57

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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.