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Finding the Third Proportional to 367,006 and 806,183

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Solution

The third proportional to 367,006 and 806,183 is: 1,770,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,006 : 806,183 = 806,183 : x
  2. Step 2: Convert to fraction form
    367,006/806,183 = 806,183/x
  3. Step 3: Cross multiply
    367,006x = 806,183 × 806,183
  4. Step 4: Simplify right side
    367,006x = 649,931,029,489
  5. Step 5: Solve for x
    x = 649,931,029,489/367,006
  6. Step 6: Final answer
    x = 1,770,900.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.