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Finding the Third Proportional to 269,868 and 396,052

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Solution

The third proportional to 269,868 and 396,052 is: 581,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,868 : 396,052 = 396,052 : x
  2. Step 2: Convert to fraction form
    269,868/396,052 = 396,052/x
  3. Step 3: Cross multiply
    269,868x = 396,052 × 396,052
  4. Step 4: Simplify right side
    269,868x = 156,857,186,704
  5. Step 5: Solve for x
    x = 156,857,186,704/269,868
  6. Step 6: Final answer
    x = 581,236.70

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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.