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Finding the Third Proportional to 206,442 and 453,481

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Solution

The third proportional to 206,442 and 453,481 is: 996,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442 : 453,481 = 453,481 : x
  2. Step 2: Convert to fraction form
    206,442/453,481 = 453,481/x
  3. Step 3: Cross multiply
    206,442x = 453,481 × 453,481
  4. Step 4: Simplify right side
    206,442x = 205,645,017,361
  5. Step 5: Solve for x
    x = 205,645,017,361/206,442
  6. Step 6: Final answer
    x = 996,139.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.