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Finding the Third Proportional to 275,190.75 and 591,072.75

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Solution

The third proportional to 275,190.75 and 591,072.75 is: 1,269,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,190.75 : 591,072.75 = 591,072.75 : x
  2. Step 2: Convert to fraction form
    275,190.75/591,072.75 = 591,072.75/x
  3. Step 3: Cross multiply
    275,190.75x = 591,072.75 × 591,072.75
  4. Step 4: Simplify right side
    275,190.75x = 349,366,995,792.56
  5. Step 5: Solve for x
    x = 349,366,995,792.56/275,190.75
  6. Step 6: Final answer
    x = 1,269,544.84

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Why These Related Problems?

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