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Finding the Third Proportional to 267,978 and 588,462

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Solution

The third proportional to 267,978 and 588,462 is: 1,292,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,978 : 588,462 = 588,462 : x
  2. Step 2: Convert to fraction form
    267,978/588,462 = 588,462/x
  3. Step 3: Cross multiply
    267,978x = 588,462 × 588,462
  4. Step 4: Simplify right side
    267,978x = 346,287,525,444
  5. Step 5: Solve for x
    x = 346,287,525,444/267,978
  6. Step 6: Final answer
    x = 1,292,223.71

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