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Finding the Third Proportional to 337,072 and 741,932

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Solution

The third proportional to 337,072 and 741,932 is: 1,633,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,072 : 741,932 = 741,932 : x
  2. Step 2: Convert to fraction form
    337,072/741,932 = 741,932/x
  3. Step 3: Cross multiply
    337,072x = 741,932 × 741,932
  4. Step 4: Simplify right side
    337,072x = 550,463,092,624
  5. Step 5: Solve for x
    x = 550,463,092,624/337,072
  6. Step 6: Final answer
    x = 1,633,072.73

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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.