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Finding the Third Proportional to 394,461 and 852,005

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Solution

The third proportional to 394,461 and 852,005 is: 1,840,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,461 : 852,005 = 852,005 : x
  2. Step 2: Convert to fraction form
    394,461/852,005 = 852,005/x
  3. Step 3: Cross multiply
    394,461x = 852,005 × 852,005
  4. Step 4: Simplify right side
    394,461x = 725,912,520,025
  5. Step 5: Solve for x
    x = 725,912,520,025/394,461
  6. Step 6: Final answer
    x = 1,840,264.36

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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.