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Finding the Third Proportional to 206,442 and 453,482

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Solution

The third proportional to 206,442 and 453,482 is: 996,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442 : 453,482 = 453,482 : x
  2. Step 2: Convert to fraction form
    206,442/453,482 = 453,482/x
  3. Step 3: Cross multiply
    206,442x = 453,482 × 453,482
  4. Step 4: Simplify right side
    206,442x = 205,645,924,324
  5. Step 5: Solve for x
    x = 205,645,924,324/206,442
  6. Step 6: Final answer
    x = 996,143.83

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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.