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Finding the Third Proportional to 234,182 and 552,634

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Solution

The third proportional to 234,182 and 552,634 is: 1,304,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,182 : 552,634 = 552,634 : x
  2. Step 2: Convert to fraction form
    234,182/552,634 = 552,634/x
  3. Step 3: Cross multiply
    234,182x = 552,634 × 552,634
  4. Step 4: Simplify right side
    234,182x = 305,404,337,956
  5. Step 5: Solve for x
    x = 305,404,337,956/234,182
  6. Step 6: Final answer
    x = 1,304,132.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.