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Finding the Third Proportional to 263,262 and 568,523

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Solution

The third proportional to 263,262 and 568,523 is: 1,227,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262 : 568,523 = 568,523 : x
  2. Step 2: Convert to fraction form
    263,262/568,523 = 568,523/x
  3. Step 3: Cross multiply
    263,262x = 568,523 × 568,523
  4. Step 4: Simplify right side
    263,262x = 323,218,401,529
  5. Step 5: Solve for x
    x = 323,218,401,529/263,262
  6. Step 6: Final answer
    x = 1,227,744.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.