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Finding the Third Proportional to 432,261 and 694,521

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Solution

The third proportional to 432,261 and 694,521 is: 1,115,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,261 : 694,521 = 694,521 : x
  2. Step 2: Convert to fraction form
    432,261/694,521 = 694,521/x
  3. Step 3: Cross multiply
    432,261x = 694,521 × 694,521
  4. Step 4: Simplify right side
    432,261x = 482,359,419,441
  5. Step 5: Solve for x
    x = 482,359,419,441/432,261
  6. Step 6: Final answer
    x = 1,115,898.54

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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.