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Finding the Third Proportional to 269,789 and 395,935

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Solution

The third proportional to 269,789 and 395,935 is: 581,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,789 : 395,935 = 395,935 : x
  2. Step 2: Convert to fraction form
    269,789/395,935 = 395,935/x
  3. Step 3: Cross multiply
    269,789x = 395,935 × 395,935
  4. Step 4: Simplify right side
    269,789x = 156,764,524,225
  5. Step 5: Solve for x
    x = 156,764,524,225/269,789
  6. Step 6: Final answer
    x = 581,063.44

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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.