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Finding the Third Proportional to 203,949 and 441,796.50

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Solution

The third proportional to 203,949 and 441,796.50 is: 957,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,949 : 441,796.50 = 441,796.50 : x
  2. Step 2: Convert to fraction form
    203,949/441,796.50 = 441,796.50/x
  3. Step 3: Cross multiply
    203,949x = 441,796.50 × 441,796.50
  4. Step 4: Simplify right side
    203,949x = 195,184,147,412.25
  5. Step 5: Solve for x
    x = 195,184,147,412.25/203,949
  6. Step 6: Final answer
    x = 957,024.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.