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Finding the Third Proportional to 394,036 and 843,368

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Solution

The third proportional to 394,036 and 843,368 is: 1,805,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,036 : 843,368 = 843,368 : x
  2. Step 2: Convert to fraction form
    394,036/843,368 = 843,368/x
  3. Step 3: Cross multiply
    394,036x = 843,368 × 843,368
  4. Step 4: Simplify right side
    394,036x = 711,269,583,424
  5. Step 5: Solve for x
    x = 711,269,583,424/394,036
  6. Step 6: Final answer
    x = 1,805,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.