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Finding the Third Proportional to 243,624.38 and 586,919.25

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Solution

The third proportional to 243,624.38 and 586,919.25 is: 1,413,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,624.38 : 586,919.25 = 586,919.25 : x
  2. Step 2: Convert to fraction form
    243,624.38/586,919.25 = 586,919.25/x
  3. Step 3: Cross multiply
    243,624.38x = 586,919.25 × 586,919.25
  4. Step 4: Simplify right side
    243,624.38x = 344,474,206,020.56
  5. Step 5: Solve for x
    x = 344,474,206,020.56/243,624.38
  6. Step 6: Final answer
    x = 1,413,956.24

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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.