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Finding the Third Proportional to 394,181 and 816,361

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Solution

The third proportional to 394,181 and 816,361 is: 1,690,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,181 : 816,361 = 816,361 : x
  2. Step 2: Convert to fraction form
    394,181/816,361 = 816,361/x
  3. Step 3: Cross multiply
    394,181x = 816,361 × 816,361
  4. Step 4: Simplify right side
    394,181x = 666,445,282,321
  5. Step 5: Solve for x
    x = 666,445,282,321/394,181
  6. Step 6: Final answer
    x = 1,690,708.79

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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.