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Finding the Third Proportional to 367.88 and 794.39

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Solution

The third proportional to 367.88 and 794.39 is: 1,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 794.39 = 794.39 : x
  2. Step 2: Convert to fraction form
    367.88/794.39 = 794.39/x
  3. Step 3: Cross multiply
    367.88x = 794.39 × 794.39
  4. Step 4: Simplify right side
    367.88x = 631,056.47
  5. Step 5: Solve for x
    x = 631,056.47/367.88
  6. Step 6: Final answer
    x = 1,715.41

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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.