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Finding the Third Proportional to 808.69 and 1,294.97

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Solution

The third proportional to 808.69 and 1,294.97 is: 2,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.69 : 1,294.97 = 1,294.97 : x
  2. Step 2: Convert to fraction form
    808.69/1,294.97 = 1,294.97/x
  3. Step 3: Cross multiply
    808.69x = 1,294.97 × 1,294.97
  4. Step 4: Simplify right side
    808.69x = 1,676,944.06
  5. Step 5: Solve for x
    x = 1,676,944.06/808.69
  6. Step 6: Final answer
    x = 2,073.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.