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Finding the Third Proportional to 303,759 and 391,974.75

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Solution

The third proportional to 303,759 and 391,974.75 is: 505,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,759 : 391,974.75 = 391,974.75 : x
  2. Step 2: Convert to fraction form
    303,759/391,974.75 = 391,974.75/x
  3. Step 3: Cross multiply
    303,759x = 391,974.75 × 391,974.75
  4. Step 4: Simplify right side
    303,759x = 153,644,204,637.56
  5. Step 5: Solve for x
    x = 153,644,204,637.56/303,759
  6. Step 6: Final answer
    x = 505,809.56

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.