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Finding the Third Proportional to 273,271 and 576,249

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Solution

The third proportional to 273,271 and 576,249 is: 1,215,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271 : 576,249 = 576,249 : x
  2. Step 2: Convert to fraction form
    273,271/576,249 = 576,249/x
  3. Step 3: Cross multiply
    273,271x = 576,249 × 576,249
  4. Step 4: Simplify right side
    273,271x = 332,062,910,001
  5. Step 5: Solve for x
    x = 332,062,910,001/273,271
  6. Step 6: Final answer
    x = 1,215,141.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.