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Finding the Third Proportional to 234,849.38 and 523,486.13

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Solution

The third proportional to 234,849.38 and 523,486.13 is: 1,166,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,849.38 : 523,486.13 = 523,486.13 : x
  2. Step 2: Convert to fraction form
    234,849.38/523,486.13 = 523,486.13/x
  3. Step 3: Cross multiply
    234,849.38x = 523,486.13 × 523,486.13
  4. Step 4: Simplify right side
    234,849.38x = 274,037,723,067.52
  5. Step 5: Solve for x
    x = 274,037,723,067.52/234,849.38
  6. Step 6: Final answer
    x = 1,166,865.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.