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Finding the Third Proportional to 197,728.88 and 466,569.56

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Solution

The third proportional to 197,728.88 and 466,569.56 is: 1,100,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,728.88 : 466,569.56 = 466,569.56 : x
  2. Step 2: Convert to fraction form
    197,728.88/466,569.56 = 466,569.56/x
  3. Step 3: Cross multiply
    197,728.88x = 466,569.56 × 466,569.56
  4. Step 4: Simplify right side
    197,728.88x = 217,687,156,651.44
  5. Step 5: Solve for x
    x = 217,687,156,651.44/197,728.88
  6. Step 6: Final answer
    x = 1,100,937.62

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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.