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Finding the Third Proportional to 672.38 and 1,009.31

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Solution

The third proportional to 672.38 and 1,009.31 is: 1,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 1,009.31 = 1,009.31 : x
  2. Step 2: Convert to fraction form
    672.38/1,009.31 = 1,009.31/x
  3. Step 3: Cross multiply
    672.38x = 1,009.31 × 1,009.31
  4. Step 4: Simplify right side
    672.38x = 1,018,711.72
  5. Step 5: Solve for x
    x = 1,018,711.72/672.38
  6. Step 6: Final answer
    x = 1,515.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.