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Finding the Third Proportional to 394,032 and 816,092

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Solution

The third proportional to 394,032 and 816,092 is: 1,690,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,032 : 816,092 = 816,092 : x
  2. Step 2: Convert to fraction form
    394,032/816,092 = 816,092/x
  3. Step 3: Cross multiply
    394,032x = 816,092 × 816,092
  4. Step 4: Simplify right side
    394,032x = 666,006,152,464
  5. Step 5: Solve for x
    x = 666,006,152,464/394,032
  6. Step 6: Final answer
    x = 1,690,233.67

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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.