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Finding the Third Proportional to 263.75 and 649.88

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Solution

The third proportional to 263.75 and 649.88 is: 1,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 649.88 = 649.88 : x
  2. Step 2: Convert to fraction form
    263.75/649.88 = 649.88/x
  3. Step 3: Cross multiply
    263.75x = 649.88 × 649.88
  4. Step 4: Simplify right side
    263.75x = 422,337.52
  5. Step 5: Solve for x
    x = 422,337.52/263.75
  6. Step 6: Final answer
    x = 1,601.28

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.