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Finding the Third Proportional to 263,366.25 and 568,216.50

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Solution

The third proportional to 263,366.25 and 568,216.50 is: 1,225,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,366.25 : 568,216.50 = 568,216.50 : x
  2. Step 2: Convert to fraction form
    263,366.25/568,216.50 = 568,216.50/x
  3. Step 3: Cross multiply
    263,366.25x = 568,216.50 × 568,216.50
  4. Step 4: Simplify right side
    263,366.25x = 322,869,990,872.25
  5. Step 5: Solve for x
    x = 322,869,990,872.25/263,366.25
  6. Step 6: Final answer
    x = 1,225,935.33

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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.