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Finding the Third Proportional to 667.93 and 1,036.78

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Solution

The third proportional to 667.93 and 1,036.78 is: 1,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.93 : 1,036.78 = 1,036.78 : x
  2. Step 2: Convert to fraction form
    667.93/1,036.78 = 1,036.78/x
  3. Step 3: Cross multiply
    667.93x = 1,036.78 × 1,036.78
  4. Step 4: Simplify right side
    667.93x = 1,074,921.44
  5. Step 5: Solve for x
    x = 1,074,921.44/667.93
  6. Step 6: Final answer
    x = 1,609.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.