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Finding the Third Proportional to 237,744 and 479,376

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Solution

The third proportional to 237,744 and 479,376 is: 966,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,744 : 479,376 = 479,376 : x
  2. Step 2: Convert to fraction form
    237,744/479,376 = 479,376/x
  3. Step 3: Cross multiply
    237,744x = 479,376 × 479,376
  4. Step 4: Simplify right side
    237,744x = 229,801,349,376
  5. Step 5: Solve for x
    x = 229,801,349,376/237,744
  6. Step 6: Final answer
    x = 966,591.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.