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Finding the Third Proportional to 215,777.25 and 474,383.25

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Solution

The third proportional to 215,777.25 and 474,383.25 is: 1,042,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,777.25 : 474,383.25 = 474,383.25 : x
  2. Step 2: Convert to fraction form
    215,777.25/474,383.25 = 474,383.25/x
  3. Step 3: Cross multiply
    215,777.25x = 474,383.25 × 474,383.25
  4. Step 4: Simplify right side
    215,777.25x = 225,039,467,880.56
  5. Step 5: Solve for x
    x = 225,039,467,880.56/215,777.25
  6. Step 6: Final answer
    x = 1,042,924.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.