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Finding the Third Proportional to 206,600 and 447,976

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Solution

The third proportional to 206,600 and 447,976 is: 971,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600 : 447,976 = 447,976 : x
  2. Step 2: Convert to fraction form
    206,600/447,976 = 447,976/x
  3. Step 3: Cross multiply
    206,600x = 447,976 × 447,976
  4. Step 4: Simplify right side
    206,600x = 200,682,496,576
  5. Step 5: Solve for x
    x = 200,682,496,576/206,600
  6. Step 6: Final answer
    x = 971,357.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.