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Finding the Third Proportional to 222,796.50 and 481,105.50

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Solution

The third proportional to 222,796.50 and 481,105.50 is: 1,038,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,796.50 : 481,105.50 = 481,105.50 : x
  2. Step 2: Convert to fraction form
    222,796.50/481,105.50 = 481,105.50/x
  3. Step 3: Cross multiply
    222,796.50x = 481,105.50 × 481,105.50
  4. Step 4: Simplify right side
    222,796.50x = 231,462,502,130.25
  5. Step 5: Solve for x
    x = 231,462,502,130.25/222,796.50
  6. Step 6: Final answer
    x = 1,038,896.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.