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Finding the Third Proportional to 271,270 and 589,241

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Solution

The third proportional to 271,270 and 589,241 is: 1,279,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,270 : 589,241 = 589,241 : x
  2. Step 2: Convert to fraction form
    271,270/589,241 = 589,241/x
  3. Step 3: Cross multiply
    271,270x = 589,241 × 589,241
  4. Step 4: Simplify right side
    271,270x = 347,204,956,081
  5. Step 5: Solve for x
    x = 347,204,956,081/271,270
  6. Step 6: Final answer
    x = 1,279,923.90

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Why These Related Problems?

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