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Finding the Third Proportional to 263,530 and 579,544

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Solution

The third proportional to 263,530 and 579,544 is: 1,274,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,530 : 579,544 = 579,544 : x
  2. Step 2: Convert to fraction form
    263,530/579,544 = 579,544/x
  3. Step 3: Cross multiply
    263,530x = 579,544 × 579,544
  4. Step 4: Simplify right side
    263,530x = 335,871,247,936
  5. Step 5: Solve for x
    x = 335,871,247,936/263,530
  6. Step 6: Final answer
    x = 1,274,508.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.