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Finding the Third Proportional to 303,034.13 and 451,923.56

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Solution

The third proportional to 303,034.13 and 451,923.56 is: 673,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,034.13 : 451,923.56 = 451,923.56 : x
  2. Step 2: Convert to fraction form
    303,034.13/451,923.56 = 451,923.56/x
  3. Step 3: Cross multiply
    303,034.13x = 451,923.56 × 451,923.56
  4. Step 4: Simplify right side
    303,034.13x = 204,234,906,342.69
  5. Step 5: Solve for x
    x = 204,234,906,342.69/303,034.13
  6. Step 6: Final answer
    x = 673,966.69

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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.