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Finding the Third Proportional to 260,700.75 and 394,728.75

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Solution

The third proportional to 260,700.75 and 394,728.75 is: 597,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,700.75 : 394,728.75 = 394,728.75 : x
  2. Step 2: Convert to fraction form
    260,700.75/394,728.75 = 394,728.75/x
  3. Step 3: Cross multiply
    260,700.75x = 394,728.75 × 394,728.75
  4. Step 4: Simplify right side
    260,700.75x = 155,810,786,076.56
  5. Step 5: Solve for x
    x = 155,810,786,076.56/260,700.75
  6. Step 6: Final answer
    x = 597,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.