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Finding the Third Proportional to 269,877 and 396,066.75

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Solution

The third proportional to 269,877 and 396,066.75 is: 581,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,877 : 396,066.75 = 396,066.75 : x
  2. Step 2: Convert to fraction form
    269,877/396,066.75 = 396,066.75/x
  3. Step 3: Cross multiply
    269,877x = 396,066.75 × 396,066.75
  4. Step 4: Simplify right side
    269,877x = 156,868,870,455.56
  5. Step 5: Solve for x
    x = 156,868,870,455.56/269,877
  6. Step 6: Final answer
    x = 581,260.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.