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Finding the Third Proportional to 441,729.50 and 970,238

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Solution

The third proportional to 441,729.50 and 970,238 is: 2,131,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,729.50 : 970,238 = 970,238 : x
  2. Step 2: Convert to fraction form
    441,729.50/970,238 = 970,238/x
  3. Step 3: Cross multiply
    441,729.50x = 970,238 × 970,238
  4. Step 4: Simplify right side
    441,729.50x = 941,361,776,644
  5. Step 5: Solve for x
    x = 941,361,776,644/441,729.50
  6. Step 6: Final answer
    x = 2,131,081.98

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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.