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Finding the Third Proportional to 394,034 and 624,039

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Solution

The third proportional to 394,034 and 624,039 is: 988,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,034 : 624,039 = 624,039 : x
  2. Step 2: Convert to fraction form
    394,034/624,039 = 624,039/x
  3. Step 3: Cross multiply
    394,034x = 624,039 × 624,039
  4. Step 4: Simplify right side
    394,034x = 389,424,673,521
  5. Step 5: Solve for x
    x = 389,424,673,521/394,034
  6. Step 6: Final answer
    x = 988,302.21

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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.