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Finding the Third Proportional to 394,031.50 and 624,034.50

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Solution

The third proportional to 394,031.50 and 624,034.50 is: 988,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,031.50 : 624,034.50 = 624,034.50 : x
  2. Step 2: Convert to fraction form
    394,031.50/624,034.50 = 624,034.50/x
  3. Step 3: Cross multiply
    394,031.50x = 624,034.50 × 624,034.50
  4. Step 4: Simplify right side
    394,031.50x = 389,419,057,190.25
  5. Step 5: Solve for x
    x = 389,419,057,190.25/394,031.50
  6. Step 6: Final answer
    x = 988,294.23

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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.