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Finding the Third Proportional to 269,874 and 396,063

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Solution

The third proportional to 269,874 and 396,063 is: 581,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,874 : 396,063 = 396,063 : x
  2. Step 2: Convert to fraction form
    269,874/396,063 = 396,063/x
  3. Step 3: Cross multiply
    269,874x = 396,063 × 396,063
  4. Step 4: Simplify right side
    269,874x = 156,865,899,969
  5. Step 5: Solve for x
    x = 156,865,899,969/269,874
  6. Step 6: Final answer
    x = 581,256.07

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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.