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Finding the Third Proportional to 263,416 and 568,950

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Solution

The third proportional to 263,416 and 568,950 is: 1,228,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,416 : 568,950 = 568,950 : x
  2. Step 2: Convert to fraction form
    263,416/568,950 = 568,950/x
  3. Step 3: Cross multiply
    263,416x = 568,950 × 568,950
  4. Step 4: Simplify right side
    263,416x = 323,704,102,500
  5. Step 5: Solve for x
    x = 323,704,102,500/263,416
  6. Step 6: Final answer
    x = 1,228,870.31

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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.