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Finding the Third Proportional to 206,962 and 453,668

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Solution

The third proportional to 206,962 and 453,668 is: 994,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962 : 453,668 = 453,668 : x
  2. Step 2: Convert to fraction form
    206,962/453,668 = 453,668/x
  3. Step 3: Cross multiply
    206,962x = 453,668 × 453,668
  4. Step 4: Simplify right side
    206,962x = 205,814,654,224
  5. Step 5: Solve for x
    x = 205,814,654,224/206,962
  6. Step 6: Final answer
    x = 994,456.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.