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Finding the Third Proportional to 337,764 and 741,960

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Solution

The third proportional to 337,764 and 741,960 is: 1,629,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,764 : 741,960 = 741,960 : x
  2. Step 2: Convert to fraction form
    337,764/741,960 = 741,960/x
  3. Step 3: Cross multiply
    337,764x = 741,960 × 741,960
  4. Step 4: Simplify right side
    337,764x = 550,504,641,600
  5. Step 5: Solve for x
    x = 550,504,641,600/337,764
  6. Step 6: Final answer
    x = 1,629,849.96

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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.