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Finding the Third Proportional to 371.53 and 784.97

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Solution

The third proportional to 371.53 and 784.97 is: 1,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.53 : 784.97 = 784.97 : x
  2. Step 2: Convert to fraction form
    371.53/784.97 = 784.97/x
  3. Step 3: Cross multiply
    371.53x = 784.97 × 784.97
  4. Step 4: Simplify right side
    371.53x = 616,175.94
  5. Step 5: Solve for x
    x = 616,175.94/371.53
  6. Step 6: Final answer
    x = 1,658.48

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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.