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Finding the Third Proportional to 384 and 828.38

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Solution

The third proportional to 384 and 828.38 is: 1,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 828.38 = 828.38 : x
  2. Step 2: Convert to fraction form
    384/828.38 = 828.38/x
  3. Step 3: Cross multiply
    384x = 828.38 × 828.38
  4. Step 4: Simplify right side
    384x = 686,205.14
  5. Step 5: Solve for x
    x = 686,205.14/384
  6. Step 6: Final answer
    x = 1,786.99

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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.