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Finding the Third Proportional to 432,234 and 694,484

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Solution

The third proportional to 432,234 and 694,484 is: 1,115,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,234 : 694,484 = 694,484 : x
  2. Step 2: Convert to fraction form
    432,234/694,484 = 694,484/x
  3. Step 3: Cross multiply
    432,234x = 694,484 × 694,484
  4. Step 4: Simplify right side
    432,234x = 482,308,026,256
  5. Step 5: Solve for x
    x = 482,308,026,256/432,234
  6. Step 6: Final answer
    x = 1,115,849.35

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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.