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Finding the Third Proportional to 217,110.75 and 471,357.75

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Solution

The third proportional to 217,110.75 and 471,357.75 is: 1,023,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,110.75 : 471,357.75 = 471,357.75 : x
  2. Step 2: Convert to fraction form
    217,110.75/471,357.75 = 471,357.75/x
  3. Step 3: Cross multiply
    217,110.75x = 471,357.75 × 471,357.75
  4. Step 4: Simplify right side
    217,110.75x = 222,178,128,485.06
  5. Step 5: Solve for x
    x = 222,178,128,485.06/217,110.75
  6. Step 6: Final answer
    x = 1,023,340.06

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