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Finding the Third Proportional to 263.50 and 623.38

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Solution

The third proportional to 263.50 and 623.38 is: 1,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 623.38 = 623.38 : x
  2. Step 2: Convert to fraction form
    263.50/623.38 = 623.38/x
  3. Step 3: Cross multiply
    263.50x = 623.38 × 623.38
  4. Step 4: Simplify right side
    263.50x = 388,596.39
  5. Step 5: Solve for x
    x = 388,596.39/263.50
  6. Step 6: Final answer
    x = 1,474.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.