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Finding the Third Proportional to 366,986 and 543,675

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Solution

The third proportional to 366,986 and 543,675 is: 805,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 543,675 = 543,675 : x
  2. Step 2: Convert to fraction form
    366,986/543,675 = 543,675/x
  3. Step 3: Cross multiply
    366,986x = 543,675 × 543,675
  4. Step 4: Simplify right side
    366,986x = 295,582,505,625
  5. Step 5: Solve for x
    x = 295,582,505,625/366,986
  6. Step 6: Final answer
    x = 805,432.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.