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Finding the Third Proportional to 206,615 and 452,542

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Solution

The third proportional to 206,615 and 452,542 is: 991,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615 : 452,542 = 452,542 : x
  2. Step 2: Convert to fraction form
    206,615/452,542 = 452,542/x
  3. Step 3: Cross multiply
    206,615x = 452,542 × 452,542
  4. Step 4: Simplify right side
    206,615x = 204,794,261,764
  5. Step 5: Solve for x
    x = 204,794,261,764/206,615
  6. Step 6: Final answer
    x = 991,187.77

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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.