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Finding the Third Proportional to 337,074 and 741,936

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Solution

The third proportional to 337,074 and 741,936 is: 1,633,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074 : 741,936 = 741,936 : x
  2. Step 2: Convert to fraction form
    337,074/741,936 = 741,936/x
  3. Step 3: Cross multiply
    337,074x = 741,936 × 741,936
  4. Step 4: Simplify right side
    337,074x = 550,469,028,096
  5. Step 5: Solve for x
    x = 550,469,028,096/337,074
  6. Step 6: Final answer
    x = 1,633,080.65

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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.