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Finding the Third Proportional to 394,318.88 and 837,858.75

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Solution

The third proportional to 394,318.88 and 837,858.75 is: 1,780,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,318.88 : 837,858.75 = 837,858.75 : x
  2. Step 2: Convert to fraction form
    394,318.88/837,858.75 = 837,858.75/x
  3. Step 3: Cross multiply
    394,318.88x = 837,858.75 × 837,858.75
  4. Step 4: Simplify right side
    394,318.88x = 702,007,284,951.56
  5. Step 5: Solve for x
    x = 702,007,284,951.56/394,318.88
  6. Step 6: Final answer
    x = 1,780,303.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.