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Finding the Third Proportional to 427,447.13 and 667,050.19

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Solution

The third proportional to 427,447.13 and 667,050.19 is: 1,040,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,447.13 : 667,050.19 = 667,050.19 : x
  2. Step 2: Convert to fraction form
    427,447.13/667,050.19 = 667,050.19/x
  3. Step 3: Cross multiply
    427,447.13x = 667,050.19 × 667,050.19
  4. Step 4: Simplify right side
    427,447.13x = 444,955,952,643.79
  5. Step 5: Solve for x
    x = 444,955,952,643.79/427,447.13
  6. Step 6: Final answer
    x = 1,040,961.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.