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Finding the Third Proportional to 263,363 and 568,763

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Solution

The third proportional to 263,363 and 568,763 is: 1,228,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,363 : 568,763 = 568,763 : x
  2. Step 2: Convert to fraction form
    263,363/568,763 = 568,763/x
  3. Step 3: Cross multiply
    263,363x = 568,763 × 568,763
  4. Step 4: Simplify right side
    263,363x = 323,491,350,169
  5. Step 5: Solve for x
    x = 323,491,350,169/263,363
  6. Step 6: Final answer
    x = 1,228,309.79

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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.