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Finding the Third Proportional to 383,231 and 806,149

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Solution

The third proportional to 383,231 and 806,149 is: 1,695,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,231 : 806,149 = 806,149 : x
  2. Step 2: Convert to fraction form
    383,231/806,149 = 806,149/x
  3. Step 3: Cross multiply
    383,231x = 806,149 × 806,149
  4. Step 4: Simplify right side
    383,231x = 649,876,210,201
  5. Step 5: Solve for x
    x = 649,876,210,201/383,231
  6. Step 6: Final answer
    x = 1,695,781.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.