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Finding the Third Proportional to 243,639.56 and 586,956.38

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Solution

The third proportional to 243,639.56 and 586,956.38 is: 1,414,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,639.56 : 586,956.38 = 586,956.38 : x
  2. Step 2: Convert to fraction form
    243,639.56/586,956.38 = 586,956.38/x
  3. Step 3: Cross multiply
    243,639.56x = 586,956.38 × 586,956.38
  4. Step 4: Simplify right side
    243,639.56x = 344,517,786,153.14
  5. Step 5: Solve for x
    x = 344,517,786,153.14/243,639.56
  6. Step 6: Final answer
    x = 1,414,046.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.