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Finding the Third Proportional to 394,047 and 624,060

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Solution

The third proportional to 394,047 and 624,060 is: 988,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,047 : 624,060 = 624,060 : x
  2. Step 2: Convert to fraction form
    394,047/624,060 = 624,060/x
  3. Step 3: Cross multiply
    394,047x = 624,060 × 624,060
  4. Step 4: Simplify right side
    394,047x = 389,450,883,600
  5. Step 5: Solve for x
    x = 389,450,883,600/394,047
  6. Step 6: Final answer
    x = 988,336.12

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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.