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Finding the Third Proportional to 261,744.75 and 394,800.75

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Solution

The third proportional to 261,744.75 and 394,800.75 is: 595,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,744.75 : 394,800.75 = 394,800.75 : x
  2. Step 2: Convert to fraction form
    261,744.75/394,800.75 = 394,800.75/x
  3. Step 3: Cross multiply
    261,744.75x = 394,800.75 × 394,800.75
  4. Step 4: Simplify right side
    261,744.75x = 155,867,632,200.56
  5. Step 5: Solve for x
    x = 155,867,632,200.56/261,744.75
  6. Step 6: Final answer
    x = 595,494.78

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