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Finding the Third Proportional to 364.78 and 768.38

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Solution

The third proportional to 364.78 and 768.38 is: 1,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 768.38 = 768.38 : x
  2. Step 2: Convert to fraction form
    364.78/768.38 = 768.38/x
  3. Step 3: Cross multiply
    364.78x = 768.38 × 768.38
  4. Step 4: Simplify right side
    364.78x = 590,400.14
  5. Step 5: Solve for x
    x = 590,400.14/364.78
  6. Step 6: Final answer
    x = 1,618.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.