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Finding the Third Proportional to 381,243 and 825,249.75

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Solution

The third proportional to 381,243 and 825,249.75 is: 1,786,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,243 : 825,249.75 = 825,249.75 : x
  2. Step 2: Convert to fraction form
    381,243/825,249.75 = 825,249.75/x
  3. Step 3: Cross multiply
    381,243x = 825,249.75 × 825,249.75
  4. Step 4: Simplify right side
    381,243x = 681,037,149,875.06
  5. Step 5: Solve for x
    x = 681,037,149,875.06/381,243
  6. Step 6: Final answer
    x = 1,786,359.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.