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Finding the Third Proportional to 263,944 and 580,372

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Solution

The third proportional to 263,944 and 580,372 is: 1,276,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,944 : 580,372 = 580,372 : x
  2. Step 2: Convert to fraction form
    263,944/580,372 = 580,372/x
  3. Step 3: Cross multiply
    263,944x = 580,372 × 580,372
  4. Step 4: Simplify right side
    263,944x = 336,831,658,384
  5. Step 5: Solve for x
    x = 336,831,658,384/263,944
  6. Step 6: Final answer
    x = 1,276,148.19

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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.