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Finding the Third Proportional to 199,529.72 and 437,863.78

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Solution

The third proportional to 199,529.72 and 437,863.78 is: 960,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529.72 : 437,863.78 = 437,863.78 : x
  2. Step 2: Convert to fraction form
    199,529.72/437,863.78 = 437,863.78/x
  3. Step 3: Cross multiply
    199,529.72x = 437,863.78 × 437,863.78
  4. Step 4: Simplify right side
    199,529.72x = 191,724,690,930.55
  5. Step 5: Solve for x
    x = 191,724,690,930.55/199,529.72
  6. Step 6: Final answer
    x = 960,882.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.