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Finding the Third Proportional to 263,529 and 579,540

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Solution

The third proportional to 263,529 and 579,540 is: 1,274,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,529 : 579,540 = 579,540 : x
  2. Step 2: Convert to fraction form
    263,529/579,540 = 579,540/x
  3. Step 3: Cross multiply
    263,529x = 579,540 × 579,540
  4. Step 4: Simplify right side
    263,529x = 335,866,611,600
  5. Step 5: Solve for x
    x = 335,866,611,600/263,529
  6. Step 6: Final answer
    x = 1,274,495.83

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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.