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Finding the Third Proportional to 271,329.75 and 590,874.75

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Solution

The third proportional to 271,329.75 and 590,874.75 is: 1,286,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,329.75 : 590,874.75 = 590,874.75 : x
  2. Step 2: Convert to fraction form
    271,329.75/590,874.75 = 590,874.75/x
  3. Step 3: Cross multiply
    271,329.75x = 590,874.75 × 590,874.75
  4. Step 4: Simplify right side
    271,329.75x = 349,132,970,187.56
  5. Step 5: Solve for x
    x = 349,132,970,187.56/271,329.75
  6. Step 6: Final answer
    x = 1,286,747.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.