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Finding the Third Proportional to 809.75 and 1,238.38

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Solution

The third proportional to 809.75 and 1,238.38 is: 1,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.75 : 1,238.38 = 1,238.38 : x
  2. Step 2: Convert to fraction form
    809.75/1,238.38 = 1,238.38/x
  3. Step 3: Cross multiply
    809.75x = 1,238.38 × 1,238.38
  4. Step 4: Simplify right side
    809.75x = 1,533,572.64
  5. Step 5: Solve for x
    x = 1,533,572.64/809.75
  6. Step 6: Final answer
    x = 1,893.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.