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Finding the Third Proportional to 259,644 and 567,348

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Solution

The third proportional to 259,644 and 567,348 is: 1,239,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,644 : 567,348 = 567,348 : x
  2. Step 2: Convert to fraction form
    259,644/567,348 = 567,348/x
  3. Step 3: Cross multiply
    259,644x = 567,348 × 567,348
  4. Step 4: Simplify right side
    259,644x = 321,883,753,104
  5. Step 5: Solve for x
    x = 321,883,753,104/259,644
  6. Step 6: Final answer
    x = 1,239,711.89

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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.