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Finding the Third Proportional to 238,524.75 and 504,933.75

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Solution

The third proportional to 238,524.75 and 504,933.75 is: 1,068,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,524.75 : 504,933.75 = 504,933.75 : x
  2. Step 2: Convert to fraction form
    238,524.75/504,933.75 = 504,933.75/x
  3. Step 3: Cross multiply
    238,524.75x = 504,933.75 × 504,933.75
  4. Step 4: Simplify right side
    238,524.75x = 254,958,091,889.06
  5. Step 5: Solve for x
    x = 254,958,091,889.06/238,524.75
  6. Step 6: Final answer
    x = 1,068,895.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.