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Finding the Third Proportional to 305,974.97 and 654,049.69

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Solution

The third proportional to 305,974.97 and 654,049.69 is: 1,398,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,974.97 : 654,049.69 = 654,049.69 : x
  2. Step 2: Convert to fraction form
    305,974.97/654,049.69 = 654,049.69/x
  3. Step 3: Cross multiply
    305,974.97x = 654,049.69 × 654,049.69
  4. Step 4: Simplify right side
    305,974.97x = 427,780,993,718.85
  5. Step 5: Solve for x
    x = 427,780,993,718.85/305,974.97
  6. Step 6: Final answer
    x = 1,398,091.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.