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Finding the Third Proportional to 271,504.13 and 585,087.75

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Solution

The third proportional to 271,504.13 and 585,087.75 is: 1,260,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504.13 : 585,087.75 = 585,087.75 : x
  2. Step 2: Convert to fraction form
    271,504.13/585,087.75 = 585,087.75/x
  3. Step 3: Cross multiply
    271,504.13x = 585,087.75 × 585,087.75
  4. Step 4: Simplify right side
    271,504.13x = 342,327,675,200.06
  5. Step 5: Solve for x
    x = 342,327,675,200.06/271,504.13
  6. Step 6: Final answer
    x = 1,260,856.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.