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Finding the Third Proportional to 394,034 and 816,096

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Solution

The third proportional to 394,034 and 816,096 is: 1,690,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,034 : 816,096 = 816,096 : x
  2. Step 2: Convert to fraction form
    394,034/816,096 = 816,096/x
  3. Step 3: Cross multiply
    394,034x = 816,096 × 816,096
  4. Step 4: Simplify right side
    394,034x = 666,012,681,216
  5. Step 5: Solve for x
    x = 666,012,681,216/394,034
  6. Step 6: Final answer
    x = 1,690,241.66

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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.