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Finding the Third Proportional to 272,198 and 580,504

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Solution

The third proportional to 272,198 and 580,504 is: 1,238,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,198 : 580,504 = 580,504 : x
  2. Step 2: Convert to fraction form
    272,198/580,504 = 580,504/x
  3. Step 3: Cross multiply
    272,198x = 580,504 × 580,504
  4. Step 4: Simplify right side
    272,198x = 336,984,894,016
  5. Step 5: Solve for x
    x = 336,984,894,016/272,198
  6. Step 6: Final answer
    x = 1,238,013.85

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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.