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Finding the Third Proportional to 234,180 and 552,629

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Solution

The third proportional to 234,180 and 552,629 is: 1,304,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,180 : 552,629 = 552,629 : x
  2. Step 2: Convert to fraction form
    234,180/552,629 = 552,629/x
  3. Step 3: Cross multiply
    234,180x = 552,629 × 552,629
  4. Step 4: Simplify right side
    234,180x = 305,398,811,641
  5. Step 5: Solve for x
    x = 305,398,811,641/234,180
  6. Step 6: Final answer
    x = 1,304,119.96

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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.