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Finding the Third Proportional to 263,524 and 579,530

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Solution

The third proportional to 263,524 and 579,530 is: 1,274,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,524 : 579,530 = 579,530 : x
  2. Step 2: Convert to fraction form
    263,524/579,530 = 579,530/x
  3. Step 3: Cross multiply
    263,524x = 579,530 × 579,530
  4. Step 4: Simplify right side
    263,524x = 335,855,020,900
  5. Step 5: Solve for x
    x = 335,855,020,900/263,524
  6. Step 6: Final answer
    x = 1,274,476.03

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