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Finding the Third Proportional to 269,817 and 395,977

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Solution

The third proportional to 269,817 and 395,977 is: 581,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,817 : 395,977 = 395,977 : x
  2. Step 2: Convert to fraction form
    269,817/395,977 = 395,977/x
  3. Step 3: Cross multiply
    269,817x = 395,977 × 395,977
  4. Step 4: Simplify right side
    269,817x = 156,797,784,529
  5. Step 5: Solve for x
    x = 156,797,784,529/269,817
  6. Step 6: Final answer
    x = 581,126.41

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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.