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Finding the Third Proportional to 270,504 and 580,872

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Solution

The third proportional to 270,504 and 580,872 is: 1,247,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,504 : 580,872 = 580,872 : x
  2. Step 2: Convert to fraction form
    270,504/580,872 = 580,872/x
  3. Step 3: Cross multiply
    270,504x = 580,872 × 580,872
  4. Step 4: Simplify right side
    270,504x = 337,412,280,384
  5. Step 5: Solve for x
    x = 337,412,280,384/270,504
  6. Step 6: Final answer
    x = 1,247,346.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.