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Finding the Third Proportional to 252,698 and 552,872

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Solution

The third proportional to 252,698 and 552,872 is: 1,209,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,698 : 552,872 = 552,872 : x
  2. Step 2: Convert to fraction form
    252,698/552,872 = 552,872/x
  3. Step 3: Cross multiply
    252,698x = 552,872 × 552,872
  4. Step 4: Simplify right side
    252,698x = 305,667,448,384
  5. Step 5: Solve for x
    x = 305,667,448,384/252,698
  6. Step 6: Final answer
    x = 1,209,615.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.