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Finding the Third Proportional to 275,196.75 and 591,084.75

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Solution

The third proportional to 275,196.75 and 591,084.75 is: 1,269,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196.75 : 591,084.75 = 591,084.75 : x
  2. Step 2: Convert to fraction form
    275,196.75/591,084.75 = 591,084.75/x
  3. Step 3: Cross multiply
    275,196.75x = 591,084.75 × 591,084.75
  4. Step 4: Simplify right side
    275,196.75x = 349,381,181,682.56
  5. Step 5: Solve for x
    x = 349,381,181,682.56/275,196.75
  6. Step 6: Final answer
    x = 1,269,568.71

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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.