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Finding the Third Proportional to 206,944 and 443,404

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Solution

The third proportional to 206,944 and 443,404 is: 950,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944 : 443,404 = 443,404 : x
  2. Step 2: Convert to fraction form
    206,944/443,404 = 443,404/x
  3. Step 3: Cross multiply
    206,944x = 443,404 × 443,404
  4. Step 4: Simplify right side
    206,944x = 196,607,107,216
  5. Step 5: Solve for x
    x = 196,607,107,216/206,944
  6. Step 6: Final answer
    x = 950,049.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.