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Finding the Third Proportional to 369.84 and 799.17

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Solution

The third proportional to 369.84 and 799.17 is: 1,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 799.17 = 799.17 : x
  2. Step 2: Convert to fraction form
    369.84/799.17 = 799.17/x
  3. Step 3: Cross multiply
    369.84x = 799.17 × 799.17
  4. Step 4: Simplify right side
    369.84x = 638,675.69
  5. Step 5: Solve for x
    x = 638,675.69/369.84
  6. Step 6: Final answer
    x = 1,726.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.