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Finding the Third Proportional to 337,048 and 741,888

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Solution

The third proportional to 337,048 and 741,888 is: 1,632,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,048 : 741,888 = 741,888 : x
  2. Step 2: Convert to fraction form
    337,048/741,888 = 741,888/x
  3. Step 3: Cross multiply
    337,048x = 741,888 × 741,888
  4. Step 4: Simplify right side
    337,048x = 550,397,804,544
  5. Step 5: Solve for x
    x = 550,397,804,544/337,048
  6. Step 6: Final answer
    x = 1,632,995.31

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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.