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Finding the Third Proportional to 263,625 and 568,722

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Solution

The third proportional to 263,625 and 568,722 is: 1,226,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,625 : 568,722 = 568,722 : x
  2. Step 2: Convert to fraction form
    263,625/568,722 = 568,722/x
  3. Step 3: Cross multiply
    263,625x = 568,722 × 568,722
  4. Step 4: Simplify right side
    263,625x = 323,444,713,284
  5. Step 5: Solve for x
    x = 323,444,713,284/263,625
  6. Step 6: Final answer
    x = 1,226,912.14

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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.