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Finding the Third Proportional to 364.50 and 796.08

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Solution

The third proportional to 364.50 and 796.08 is: 1,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 796.08 = 796.08 : x
  2. Step 2: Convert to fraction form
    364.50/796.08 = 796.08/x
  3. Step 3: Cross multiply
    364.50x = 796.08 × 796.08
  4. Step 4: Simplify right side
    364.50x = 633,740.38
  5. Step 5: Solve for x
    x = 633,740.38/364.50
  6. Step 6: Final answer
    x = 1,738.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.