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Finding the Third Proportional to 244,647 and 378,103.50

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Solution

The third proportional to 244,647 and 378,103.50 is: 584,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,647 : 378,103.50 = 378,103.50 : x
  2. Step 2: Convert to fraction form
    244,647/378,103.50 = 378,103.50/x
  3. Step 3: Cross multiply
    244,647x = 378,103.50 × 378,103.50
  4. Step 4: Simplify right side
    244,647x = 142,962,256,712.25
  5. Step 5: Solve for x
    x = 142,962,256,712.25/244,647
  6. Step 6: Final answer
    x = 584,361.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.