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Finding the Third Proportional to 263,651 and 568,774

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Solution

The third proportional to 263,651 and 568,774 is: 1,227,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,651 : 568,774 = 568,774 : x
  2. Step 2: Convert to fraction form
    263,651/568,774 = 568,774/x
  3. Step 3: Cross multiply
    263,651x = 568,774 × 568,774
  4. Step 4: Simplify right side
    263,651x = 323,503,863,076
  5. Step 5: Solve for x
    x = 323,503,863,076/263,651
  6. Step 6: Final answer
    x = 1,227,015.50

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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.