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Finding the Third Proportional to 394,456 and 864,000

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Solution

The third proportional to 394,456 and 864,000 is: 1,892,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,456 : 864,000 = 864,000 : x
  2. Step 2: Convert to fraction form
    394,456/864,000 = 864,000/x
  3. Step 3: Cross multiply
    394,456x = 864,000 × 864,000
  4. Step 4: Simplify right side
    394,456x = 746,496,000,000
  5. Step 5: Solve for x
    x = 746,496,000,000/394,456
  6. Step 6: Final answer
    x = 1,892,469.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.