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Finding the Third Proportional to 442,405.13 and 667,232.44

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Solution

The third proportional to 442,405.13 and 667,232.44 is: 1,006,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,405.13 : 667,232.44 = 667,232.44 : x
  2. Step 2: Convert to fraction form
    442,405.13/667,232.44 = 667,232.44/x
  3. Step 3: Cross multiply
    442,405.13x = 667,232.44 × 667,232.44
  4. Step 4: Simplify right side
    442,405.13x = 445,199,125,652.19
  5. Step 5: Solve for x
    x = 445,199,125,652.19/442,405.13
  6. Step 6: Final answer
    x = 1,006,315.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.