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Finding the Third Proportional to 394,064 and 624,092

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Solution

The third proportional to 394,064 and 624,092 is: 988,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,064 : 624,092 = 624,092 : x
  2. Step 2: Convert to fraction form
    394,064/624,092 = 624,092/x
  3. Step 3: Cross multiply
    394,064x = 624,092 × 624,092
  4. Step 4: Simplify right side
    394,064x = 389,490,824,464
  5. Step 5: Solve for x
    x = 389,490,824,464/394,064
  6. Step 6: Final answer
    x = 988,394.84

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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.