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Finding the Third Proportional to 337,062 and 741,912

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Solution

The third proportional to 337,062 and 741,912 is: 1,633,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,062 : 741,912 = 741,912 : x
  2. Step 2: Convert to fraction form
    337,062/741,912 = 741,912/x
  3. Step 3: Cross multiply
    337,062x = 741,912 × 741,912
  4. Step 4: Simplify right side
    337,062x = 550,433,415,744
  5. Step 5: Solve for x
    x = 550,433,415,744/337,062
  6. Step 6: Final answer
    x = 1,633,033.14

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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.