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Finding the Third Proportional to 325.69 and 784.97

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Solution

The third proportional to 325.69 and 784.97 is: 1,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.69 : 784.97 = 784.97 : x
  2. Step 2: Convert to fraction form
    325.69/784.97 = 784.97/x
  3. Step 3: Cross multiply
    325.69x = 784.97 × 784.97
  4. Step 4: Simplify right side
    325.69x = 616,175.94
  5. Step 5: Solve for x
    x = 616,175.94/325.69
  6. Step 6: Final answer
    x = 1,891.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.