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Finding the Third Proportional to 272,163 and 576,771

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Solution

The third proportional to 272,163 and 576,771 is: 1,222,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,163 : 576,771 = 576,771 : x
  2. Step 2: Convert to fraction form
    272,163/576,771 = 576,771/x
  3. Step 3: Cross multiply
    272,163x = 576,771 × 576,771
  4. Step 4: Simplify right side
    272,163x = 332,664,786,441
  5. Step 5: Solve for x
    x = 332,664,786,441/272,163
  6. Step 6: Final answer
    x = 1,222,299.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.