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Finding the Third Proportional to 300,891.38 and 467,403.75

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Solution

The third proportional to 300,891.38 and 467,403.75 is: 726,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,891.38 : 467,403.75 = 467,403.75 : x
  2. Step 2: Convert to fraction form
    300,891.38/467,403.75 = 467,403.75/x
  3. Step 3: Cross multiply
    300,891.38x = 467,403.75 × 467,403.75
  4. Step 4: Simplify right side
    300,891.38x = 218,466,265,514.06
  5. Step 5: Solve for x
    x = 218,466,265,514.06/300,891.38
  6. Step 6: Final answer
    x = 726,063.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.