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Finding the Third Proportional to 231,423 and 469,287

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Solution

The third proportional to 231,423 and 469,287 is: 951,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,423 : 469,287 = 469,287 : x
  2. Step 2: Convert to fraction form
    231,423/469,287 = 469,287/x
  3. Step 3: Cross multiply
    231,423x = 469,287 × 469,287
  4. Step 4: Simplify right side
    231,423x = 220,230,288,369
  5. Step 5: Solve for x
    x = 220,230,288,369/231,423
  6. Step 6: Final answer
    x = 951,635.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.