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Finding the Third Proportional to 188,812 and 410,494

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Solution

The third proportional to 188,812 and 410,494 is: 892,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,812 : 410,494 = 410,494 : x
  2. Step 2: Convert to fraction form
    188,812/410,494 = 410,494/x
  3. Step 3: Cross multiply
    188,812x = 410,494 × 410,494
  4. Step 4: Simplify right side
    188,812x = 168,505,324,036
  5. Step 5: Solve for x
    x = 168,505,324,036/188,812
  6. Step 6: Final answer
    x = 892,450.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.