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Finding the Third Proportional to 394,041 and 624,049

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Solution

The third proportional to 394,041 and 624,049 is: 988,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,041 : 624,049 = 624,049 : x
  2. Step 2: Convert to fraction form
    394,041/624,049 = 624,049/x
  3. Step 3: Cross multiply
    394,041x = 624,049 × 624,049
  4. Step 4: Simplify right side
    394,041x = 389,437,154,401
  5. Step 5: Solve for x
    x = 389,437,154,401/394,041
  6. Step 6: Final answer
    x = 988,316.33

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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.