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Finding the Third Proportional to 262.94 and 596.38

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Solution

The third proportional to 262.94 and 596.38 is: 1,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 596.38 = 596.38 : x
  2. Step 2: Convert to fraction form
    262.94/596.38 = 596.38/x
  3. Step 3: Cross multiply
    262.94x = 596.38 × 596.38
  4. Step 4: Simplify right side
    262.94x = 355,663.14
  5. Step 5: Solve for x
    x = 355,663.14/262.94
  6. Step 6: Final answer
    x = 1,352.65

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.