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Finding the Third Proportional to 806.75 and 1,241.63

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Solution

The third proportional to 806.75 and 1,241.63 is: 1,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.75 : 1,241.63 = 1,241.63 : x
  2. Step 2: Convert to fraction form
    806.75/1,241.63 = 1,241.63/x
  3. Step 3: Cross multiply
    806.75x = 1,241.63 × 1,241.63
  4. Step 4: Simplify right side
    806.75x = 1,541,632.64
  5. Step 5: Solve for x
    x = 1,541,632.64/806.75
  6. Step 6: Final answer
    x = 1,910.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.