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Finding the Third Proportional to 367,005 and 806,181

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Solution

The third proportional to 367,005 and 806,181 is: 1,770,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,005 : 806,181 = 806,181 : x
  2. Step 2: Convert to fraction form
    367,005/806,181 = 806,181/x
  3. Step 3: Cross multiply
    367,005x = 806,181 × 806,181
  4. Step 4: Simplify right side
    367,005x = 649,927,804,761
  5. Step 5: Solve for x
    x = 649,927,804,761/367,005
  6. Step 6: Final answer
    x = 1,770,896.32

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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.