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Finding the Third Proportional to 394,092 and 819,635.63

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Solution

The third proportional to 394,092 and 819,635.63 is: 1,704,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092 : 819,635.63 = 819,635.63 : x
  2. Step 2: Convert to fraction form
    394,092/819,635.63 = 819,635.63/x
  3. Step 3: Cross multiply
    394,092x = 819,635.63 × 819,635.63
  4. Step 4: Simplify right side
    394,092x = 671,802,557,769.14
  5. Step 5: Solve for x
    x = 671,802,557,769.14/394,092
  6. Step 6: Final answer
    x = 1,704,684.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.