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Finding the Third Proportional to 248,910.75 and 585,093.38

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Solution

The third proportional to 248,910.75 and 585,093.38 is: 1,375,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,910.75 : 585,093.38 = 585,093.38 : x
  2. Step 2: Convert to fraction form
    248,910.75/585,093.38 = 585,093.38/x
  3. Step 3: Cross multiply
    248,910.75x = 585,093.38 × 585,093.38
  4. Step 4: Simplify right side
    248,910.75x = 342,334,257,468.89
  5. Step 5: Solve for x
    x = 342,334,257,468.89/248,910.75
  6. Step 6: Final answer
    x = 1,375,329.34

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.