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Finding the Third Proportional to 205,035 and 443,757

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Solution

The third proportional to 205,035 and 443,757 is: 960,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,035 : 443,757 = 443,757 : x
  2. Step 2: Convert to fraction form
    205,035/443,757 = 443,757/x
  3. Step 3: Cross multiply
    205,035x = 443,757 × 443,757
  4. Step 4: Simplify right side
    205,035x = 196,920,275,049
  5. Step 5: Solve for x
    x = 196,920,275,049/205,035
  6. Step 6: Final answer
    x = 960,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.