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Finding the Third Proportional to 442,147.50 and 1,039,311

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Solution

The third proportional to 442,147.50 and 1,039,311 is: 2,443,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,147.50 : 1,039,311 = 1,039,311 : x
  2. Step 2: Convert to fraction form
    442,147.50/1,039,311 = 1,039,311/x
  3. Step 3: Cross multiply
    442,147.50x = 1,039,311 × 1,039,311
  4. Step 4: Simplify right side
    442,147.50x = 1,080,167,354,721
  5. Step 5: Solve for x
    x = 1,080,167,354,721/442,147.50
  6. Step 6: Final answer
    x = 2,443,002.29

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.