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Finding the Third Proportional to 206,338 and 452,042

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Solution

The third proportional to 206,338 and 452,042 is: 990,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,338 : 452,042 = 452,042 : x
  2. Step 2: Convert to fraction form
    206,338/452,042 = 452,042/x
  3. Step 3: Cross multiply
    206,338x = 452,042 × 452,042
  4. Step 4: Simplify right side
    206,338x = 204,341,969,764
  5. Step 5: Solve for x
    x = 204,341,969,764/206,338
  6. Step 6: Final answer
    x = 990,326.41

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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.