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Finding the Third Proportional to 394,183 and 816,365

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Solution

The third proportional to 394,183 and 816,365 is: 1,690,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,183 : 816,365 = 816,365 : x
  2. Step 2: Convert to fraction form
    394,183/816,365 = 816,365/x
  3. Step 3: Cross multiply
    394,183x = 816,365 × 816,365
  4. Step 4: Simplify right side
    394,183x = 666,451,813,225
  5. Step 5: Solve for x
    x = 666,451,813,225/394,183
  6. Step 6: Final answer
    x = 1,690,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.