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Finding the Third Proportional to 263,961 and 580,419

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Solution

The third proportional to 263,961 and 580,419 is: 1,276,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,961 : 580,419 = 580,419 : x
  2. Step 2: Convert to fraction form
    263,961/580,419 = 580,419/x
  3. Step 3: Cross multiply
    263,961x = 580,419 × 580,419
  4. Step 4: Simplify right side
    263,961x = 336,886,215,561
  5. Step 5: Solve for x
    x = 336,886,215,561/263,961
  6. Step 6: Final answer
    x = 1,276,272.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.