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Finding the Third Proportional to 397,578.38 and 828,690.75

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Solution

The third proportional to 397,578.38 and 828,690.75 is: 1,727,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,578.38 : 828,690.75 = 828,690.75 : x
  2. Step 2: Convert to fraction form
    397,578.38/828,690.75 = 828,690.75/x
  3. Step 3: Cross multiply
    397,578.38x = 828,690.75 × 828,690.75
  4. Step 4: Simplify right side
    397,578.38x = 686,728,359,135.56
  5. Step 5: Solve for x
    x = 686,728,359,135.56/397,578.38
  6. Step 6: Final answer
    x = 1,727,277.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.