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Finding the Third Proportional to 206,939 and 443,394

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Solution

The third proportional to 206,939 and 443,394 is: 950,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,939 : 443,394 = 443,394 : x
  2. Step 2: Convert to fraction form
    206,939/443,394 = 443,394/x
  3. Step 3: Cross multiply
    206,939x = 443,394 × 443,394
  4. Step 4: Simplify right side
    206,939x = 196,598,239,236
  5. Step 5: Solve for x
    x = 196,598,239,236/206,939
  6. Step 6: Final answer
    x = 950,029.91

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Why These Related Problems?

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