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Finding the Third Proportional to 394,494 and 864,075

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Solution

The third proportional to 394,494 and 864,075 is: 1,892,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,494 : 864,075 = 864,075 : x
  2. Step 2: Convert to fraction form
    394,494/864,075 = 864,075/x
  3. Step 3: Cross multiply
    394,494x = 864,075 × 864,075
  4. Step 4: Simplify right side
    394,494x = 746,625,605,625
  5. Step 5: Solve for x
    x = 746,625,605,625/394,494
  6. Step 6: Final answer
    x = 1,892,615.87

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Why These Related Problems?

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