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Finding the Third Proportional to 197,718 and 466,542

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Solution

The third proportional to 197,718 and 466,542 is: 1,100,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,718 : 466,542 = 466,542 : x
  2. Step 2: Convert to fraction form
    197,718/466,542 = 466,542/x
  3. Step 3: Cross multiply
    197,718x = 466,542 × 466,542
  4. Step 4: Simplify right side
    197,718x = 217,661,437,764
  5. Step 5: Solve for x
    x = 217,661,437,764/197,718
  6. Step 6: Final answer
    x = 1,100,868.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.