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Finding the Third Proportional to 263,138 and 568,368

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Solution

The third proportional to 263,138 and 568,368 is: 1,227,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138 : 568,368 = 568,368 : x
  2. Step 2: Convert to fraction form
    263,138/568,368 = 568,368/x
  3. Step 3: Cross multiply
    263,138x = 568,368 × 568,368
  4. Step 4: Simplify right side
    263,138x = 323,042,183,424
  5. Step 5: Solve for x
    x = 323,042,183,424/263,138
  6. Step 6: Final answer
    x = 1,227,653.11

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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.