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Finding the Third Proportional to 248,217.75 and 535,791.38

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Solution

The third proportional to 248,217.75 and 535,791.38 is: 1,156,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,217.75 : 535,791.38 = 535,791.38 : x
  2. Step 2: Convert to fraction form
    248,217.75/535,791.38 = 535,791.38/x
  3. Step 3: Cross multiply
    248,217.75x = 535,791.38 × 535,791.38
  4. Step 4: Simplify right side
    248,217.75x = 287,072,397,524.39
  5. Step 5: Solve for x
    x = 287,072,397,524.39/248,217.75
  6. Step 6: Final answer
    x = 1,156,534.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.