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Finding the Third Proportional to 207,756 and 446,542

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Solution

The third proportional to 207,756 and 446,542 is: 959,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,756 : 446,542 = 446,542 : x
  2. Step 2: Convert to fraction form
    207,756/446,542 = 446,542/x
  3. Step 3: Cross multiply
    207,756x = 446,542 × 446,542
  4. Step 4: Simplify right side
    207,756x = 199,399,757,764
  5. Step 5: Solve for x
    x = 199,399,757,764/207,756
  6. Step 6: Final answer
    x = 959,778.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.