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Finding the Third Proportional to 276,444 and 580,734

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Solution

The third proportional to 276,444 and 580,734 is: 1,219,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,444 : 580,734 = 580,734 : x
  2. Step 2: Convert to fraction form
    276,444/580,734 = 580,734/x
  3. Step 3: Cross multiply
    276,444x = 580,734 × 580,734
  4. Step 4: Simplify right side
    276,444x = 337,251,978,756
  5. Step 5: Solve for x
    x = 337,251,978,756/276,444
  6. Step 6: Final answer
    x = 1,219,964.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.