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Finding the Third Proportional to 222,572.25 and 471,629.25

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Solution

The third proportional to 222,572.25 and 471,629.25 is: 999,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,572.25 : 471,629.25 = 471,629.25 : x
  2. Step 2: Convert to fraction form
    222,572.25/471,629.25 = 471,629.25/x
  3. Step 3: Cross multiply
    222,572.25x = 471,629.25 × 471,629.25
  4. Step 4: Simplify right side
    222,572.25x = 222,434,149,455.56
  5. Step 5: Solve for x
    x = 222,434,149,455.56/222,572.25
  6. Step 6: Final answer
    x = 999,379.52

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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.