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Finding the Third Proportional to 432,266 and 694,534

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Solution

The third proportional to 432,266 and 694,534 is: 1,115,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,266 : 694,534 = 694,534 : x
  2. Step 2: Convert to fraction form
    432,266/694,534 = 694,534/x
  3. Step 3: Cross multiply
    432,266x = 694,534 × 694,534
  4. Step 4: Simplify right side
    432,266x = 482,377,477,156
  5. Step 5: Solve for x
    x = 482,377,477,156/432,266
  6. Step 6: Final answer
    x = 1,115,927.41

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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.