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Finding the Third Proportional to 203,716 and 481,648

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Solution

The third proportional to 203,716 and 481,648 is: 1,138,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,716 : 481,648 = 481,648 : x
  2. Step 2: Convert to fraction form
    203,716/481,648 = 481,648/x
  3. Step 3: Cross multiply
    203,716x = 481,648 × 481,648
  4. Step 4: Simplify right side
    203,716x = 231,984,795,904
  5. Step 5: Solve for x
    x = 231,984,795,904/203,716
  6. Step 6: Final answer
    x = 1,138,765.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.