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Finding the Third Proportional to 197,721 and 466,548

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Solution

The third proportional to 197,721 and 466,548 is: 1,100,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,721 : 466,548 = 466,548 : x
  2. Step 2: Convert to fraction form
    197,721/466,548 = 466,548/x
  3. Step 3: Cross multiply
    197,721x = 466,548 × 466,548
  4. Step 4: Simplify right side
    197,721x = 217,667,036,304
  5. Step 5: Solve for x
    x = 217,667,036,304/197,721
  6. Step 6: Final answer
    x = 1,100,879.71

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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.