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Finding the Third Proportional to 258,338 and 567,598

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Solution

The third proportional to 258,338 and 567,598 is: 1,247,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,338 : 567,598 = 567,598 : x
  2. Step 2: Convert to fraction form
    258,338/567,598 = 567,598/x
  3. Step 3: Cross multiply
    258,338x = 567,598 × 567,598
  4. Step 4: Simplify right side
    258,338x = 322,167,489,604
  5. Step 5: Solve for x
    x = 322,167,489,604/258,338
  6. Step 6: Final answer
    x = 1,247,077.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.