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Finding the Third Proportional to 668 and 1,067

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Solution

The third proportional to 668 and 1,067 is: 1,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,067 = 1,067 : x
  2. Step 2: Convert to fraction form
    668/1,067 = 1,067/x
  3. Step 3: Cross multiply
    668x = 1,067 × 1,067
  4. Step 4: Simplify right side
    668x = 1,138,489
  5. Step 5: Solve for x
    x = 1,138,489/668
  6. Step 6: Final answer
    x = 1,704.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.