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Finding the Third Proportional to 259,660 and 567,384

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Solution

The third proportional to 259,660 and 567,384 is: 1,239,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,660 : 567,384 = 567,384 : x
  2. Step 2: Convert to fraction form
    259,660/567,384 = 567,384/x
  3. Step 3: Cross multiply
    259,660x = 567,384 × 567,384
  4. Step 4: Simplify right side
    259,660x = 321,924,603,456
  5. Step 5: Solve for x
    x = 321,924,603,456/259,660
  6. Step 6: Final answer
    x = 1,239,792.82

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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.