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Finding the Third Proportional to 303,040 and 451,930

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Solution

The third proportional to 303,040 and 451,930 is: 673,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,040 : 451,930 = 451,930 : x
  2. Step 2: Convert to fraction form
    303,040/451,930 = 451,930/x
  3. Step 3: Cross multiply
    303,040x = 451,930 × 451,930
  4. Step 4: Simplify right side
    303,040x = 204,240,724,900
  5. Step 5: Solve for x
    x = 204,240,724,900/303,040
  6. Step 6: Final answer
    x = 673,972.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.