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Finding the Third Proportional to 271,743.75 and 590,235.75

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Solution

The third proportional to 271,743.75 and 590,235.75 is: 1,282,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,743.75 : 590,235.75 = 590,235.75 : x
  2. Step 2: Convert to fraction form
    271,743.75/590,235.75 = 590,235.75/x
  3. Step 3: Cross multiply
    271,743.75x = 590,235.75 × 590,235.75
  4. Step 4: Simplify right side
    271,743.75x = 348,378,240,578.06
  5. Step 5: Solve for x
    x = 348,378,240,578.06/271,743.75
  6. Step 6: Final answer
    x = 1,282,010.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.