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Finding the Third Proportional to 422,194.50 and 631,185.75

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Solution

The third proportional to 422,194.50 and 631,185.75 is: 943,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,194.50 : 631,185.75 = 631,185.75 : x
  2. Step 2: Convert to fraction form
    422,194.50/631,185.75 = 631,185.75/x
  3. Step 3: Cross multiply
    422,194.50x = 631,185.75 × 631,185.75
  4. Step 4: Simplify right side
    422,194.50x = 398,395,451,003.06
  5. Step 5: Solve for x
    x = 398,395,451,003.06/422,194.50
  6. Step 6: Final answer
    x = 943,630.13

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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.