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Finding the Third Proportional to 252,264 and 517,644

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Solution

The third proportional to 252,264 and 517,644 is: 1,062,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,264 : 517,644 = 517,644 : x
  2. Step 2: Convert to fraction form
    252,264/517,644 = 517,644/x
  3. Step 3: Cross multiply
    252,264x = 517,644 × 517,644
  4. Step 4: Simplify right side
    252,264x = 267,955,310,736
  5. Step 5: Solve for x
    x = 267,955,310,736/252,264
  6. Step 6: Final answer
    x = 1,062,201.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.