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Finding the Third Proportional to 271,241 and 590,697

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Solution

The third proportional to 271,241 and 590,697 is: 1,286,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,241 : 590,697 = 590,697 : x
  2. Step 2: Convert to fraction form
    271,241/590,697 = 590,697/x
  3. Step 3: Cross multiply
    271,241x = 590,697 × 590,697
  4. Step 4: Simplify right side
    271,241x = 348,922,945,809
  5. Step 5: Solve for x
    x = 348,922,945,809/271,241
  6. Step 6: Final answer
    x = 1,286,394.56

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Why These Related Problems?

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