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Finding the Third Proportional to 275,163.75 and 591,006

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Solution

The third proportional to 275,163.75 and 591,006 is: 1,269,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,163.75 : 591,006 = 591,006 : x
  2. Step 2: Convert to fraction form
    275,163.75/591,006 = 591,006/x
  3. Step 3: Cross multiply
    275,163.75x = 591,006 × 591,006
  4. Step 4: Simplify right side
    275,163.75x = 349,288,092,036
  5. Step 5: Solve for x
    x = 349,288,092,036/275,163.75
  6. Step 6: Final answer
    x = 1,269,382.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.