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Finding the Third Proportional to 436,304 and 951,448

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Solution

The third proportional to 436,304 and 951,448 is: 2,074,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,304 : 951,448 = 951,448 : x
  2. Step 2: Convert to fraction form
    436,304/951,448 = 951,448/x
  3. Step 3: Cross multiply
    436,304x = 951,448 × 951,448
  4. Step 4: Simplify right side
    436,304x = 905,253,296,704
  5. Step 5: Solve for x
    x = 905,253,296,704/436,304
  6. Step 6: Final answer
    x = 2,074,822.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.