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Finding the Third Proportional to 367,004 and 806,180

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Solution

The third proportional to 367,004 and 806,180 is: 1,770,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,004 : 806,180 = 806,180 : x
  2. Step 2: Convert to fraction form
    367,004/806,180 = 806,180/x
  3. Step 3: Cross multiply
    367,004x = 806,180 × 806,180
  4. Step 4: Simplify right side
    367,004x = 649,926,192,400
  5. Step 5: Solve for x
    x = 649,926,192,400/367,004
  6. Step 6: Final answer
    x = 1,770,896.75

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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.