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Finding the Third Proportional to 394,042 and 624,050

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Solution

The third proportional to 394,042 and 624,050 is: 988,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,042 : 624,050 = 624,050 : x
  2. Step 2: Convert to fraction form
    394,042/624,050 = 624,050/x
  3. Step 3: Cross multiply
    394,042x = 624,050 × 624,050
  4. Step 4: Simplify right side
    394,042x = 389,438,402,500
  5. Step 5: Solve for x
    x = 389,438,402,500/394,042
  6. Step 6: Final answer
    x = 988,316.99

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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.