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Finding the Third Proportional to 206,945 and 443,406

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Solution

The third proportional to 206,945 and 443,406 is: 950,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,945 : 443,406 = 443,406 : x
  2. Step 2: Convert to fraction form
    206,945/443,406 = 443,406/x
  3. Step 3: Cross multiply
    206,945x = 443,406 × 443,406
  4. Step 4: Simplify right side
    206,945x = 196,608,880,836
  5. Step 5: Solve for x
    x = 196,608,880,836/206,945
  6. Step 6: Final answer
    x = 950,053.79

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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.