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Finding the Third Proportional to 367,007 and 806,186

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Solution

The third proportional to 367,007 and 806,186 is: 1,770,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,007 : 806,186 = 806,186 : x
  2. Step 2: Convert to fraction form
    367,007/806,186 = 806,186/x
  3. Step 3: Cross multiply
    367,007x = 806,186 × 806,186
  4. Step 4: Simplify right side
    367,007x = 649,935,866,596
  5. Step 5: Solve for x
    x = 649,935,866,596/367,007
  6. Step 6: Final answer
    x = 1,770,908.64

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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.