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Finding the Third Proportional to 274,816.50 and 605,538.75

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Solution

The third proportional to 274,816.50 and 605,538.75 is: 1,334,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,816.50 : 605,538.75 = 605,538.75 : x
  2. Step 2: Convert to fraction form
    274,816.50/605,538.75 = 605,538.75/x
  3. Step 3: Cross multiply
    274,816.50x = 605,538.75 × 605,538.75
  4. Step 4: Simplify right side
    274,816.50x = 366,677,177,751.56
  5. Step 5: Solve for x
    x = 366,677,177,751.56/274,816.50
  6. Step 6: Final answer
    x = 1,334,261.87

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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.