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Finding the Third Proportional to 394,621 and 852,296

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Solution

The third proportional to 394,621 and 852,296 is: 1,840,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,621 : 852,296 = 852,296 : x
  2. Step 2: Convert to fraction form
    394,621/852,296 = 852,296/x
  3. Step 3: Cross multiply
    394,621x = 852,296 × 852,296
  4. Step 4: Simplify right side
    394,621x = 726,408,471,616
  5. Step 5: Solve for x
    x = 726,408,471,616/394,621
  6. Step 6: Final answer
    x = 1,840,775.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.