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Finding the Third Proportional to 273,081 and 580,608

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Solution

The third proportional to 273,081 and 580,608 is: 1,234,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,081 : 580,608 = 580,608 : x
  2. Step 2: Convert to fraction form
    273,081/580,608 = 580,608/x
  3. Step 3: Cross multiply
    273,081x = 580,608 × 580,608
  4. Step 4: Simplify right side
    273,081x = 337,105,649,664
  5. Step 5: Solve for x
    x = 337,105,649,664/273,081
  6. Step 6: Final answer
    x = 1,234,452.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.