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Finding the Third Proportional to 432,234 and 694,483

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Solution

The third proportional to 432,234 and 694,483 is: 1,115,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,234 : 694,483 = 694,483 : x
  2. Step 2: Convert to fraction form
    432,234/694,483 = 694,483/x
  3. Step 3: Cross multiply
    432,234x = 694,483 × 694,483
  4. Step 4: Simplify right side
    432,234x = 482,306,637,289
  5. Step 5: Solve for x
    x = 482,306,637,289/432,234
  6. Step 6: Final answer
    x = 1,115,846.13

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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.