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Finding the Third Proportional to 234,204 and 552,672

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Solution

The third proportional to 234,204 and 552,672 is: 1,304,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,204 : 552,672 = 552,672 : x
  2. Step 2: Convert to fraction form
    234,204/552,672 = 552,672/x
  3. Step 3: Cross multiply
    234,204x = 552,672 × 552,672
  4. Step 4: Simplify right side
    234,204x = 305,446,339,584
  5. Step 5: Solve for x
    x = 305,446,339,584/234,204
  6. Step 6: Final answer
    x = 1,304,189.25

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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.