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Finding the Third Proportional to 262,975 and 568,005

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Solution

The third proportional to 262,975 and 568,005 is: 1,226,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,975 : 568,005 = 568,005 : x
  2. Step 2: Convert to fraction form
    262,975/568,005 = 568,005/x
  3. Step 3: Cross multiply
    262,975x = 568,005 × 568,005
  4. Step 4: Simplify right side
    262,975x = 322,629,680,025
  5. Step 5: Solve for x
    x = 322,629,680,025/262,975
  6. Step 6: Final answer
    x = 1,226,845.44

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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.