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Finding the Third Proportional to 244,768.50 and 518,899.50

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Solution

The third proportional to 244,768.50 and 518,899.50 is: 1,100,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,768.50 : 518,899.50 = 518,899.50 : x
  2. Step 2: Convert to fraction form
    244,768.50/518,899.50 = 518,899.50/x
  3. Step 3: Cross multiply
    244,768.50x = 518,899.50 × 518,899.50
  4. Step 4: Simplify right side
    244,768.50x = 269,256,691,100.25
  5. Step 5: Solve for x
    x = 269,256,691,100.25/244,768.50
  6. Step 6: Final answer
    x = 1,100,046.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.