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Finding the Third Proportional to 432,229.50 and 694,477.13

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Solution

The third proportional to 432,229.50 and 694,477.13 is: 1,115,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,229.50 : 694,477.13 = 694,477.13 : x
  2. Step 2: Convert to fraction form
    432,229.50/694,477.13 = 694,477.13/x
  3. Step 3: Cross multiply
    432,229.50x = 694,477.13 × 694,477.13
  4. Step 4: Simplify right side
    432,229.50x = 482,298,477,148.27
  5. Step 5: Solve for x
    x = 482,298,477,148.27/432,229.50
  6. Step 6: Final answer
    x = 1,115,838.87

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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.