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Finding the Third Proportional to 394,068 and 624,098

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Solution

The third proportional to 394,068 and 624,098 is: 988,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,068 : 624,098 = 624,098 : x
  2. Step 2: Convert to fraction form
    394,068/624,098 = 624,098/x
  3. Step 3: Cross multiply
    394,068x = 624,098 × 624,098
  4. Step 4: Simplify right side
    394,068x = 389,498,313,604
  5. Step 5: Solve for x
    x = 389,498,313,604/394,068
  6. Step 6: Final answer
    x = 988,403.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.