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Finding the Third Proportional to 256,755.75 and 377,862.75

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Solution

The third proportional to 256,755.75 and 377,862.75 is: 556,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.75 : 377,862.75 = 377,862.75 : x
  2. Step 2: Convert to fraction form
    256,755.75/377,862.75 = 377,862.75/x
  3. Step 3: Cross multiply
    256,755.75x = 377,862.75 × 377,862.75
  4. Step 4: Simplify right side
    256,755.75x = 142,780,257,837.56
  5. Step 5: Solve for x
    x = 142,780,257,837.56/256,755.75
  6. Step 6: Final answer
    x = 556,093.71

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