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Finding the Third Proportional to 422,268.75 and 633,958.88

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Solution

The third proportional to 422,268.75 and 633,958.88 is: 951,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,268.75 : 633,958.88 = 633,958.88 : x
  2. Step 2: Convert to fraction form
    422,268.75/633,958.88 = 633,958.88/x
  3. Step 3: Cross multiply
    422,268.75x = 633,958.88 × 633,958.88
  4. Step 4: Simplify right side
    422,268.75x = 401,903,855,191.27
  5. Step 5: Solve for x
    x = 401,903,855,191.27/422,268.75
  6. Step 6: Final answer
    x = 951,772.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.