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Finding the Third Proportional to 385.88 and 797.44

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Solution

The third proportional to 385.88 and 797.44 is: 1,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 797.44 = 797.44 : x
  2. Step 2: Convert to fraction form
    385.88/797.44 = 797.44/x
  3. Step 3: Cross multiply
    385.88x = 797.44 × 797.44
  4. Step 4: Simplify right side
    385.88x = 635,906.57
  5. Step 5: Solve for x
    x = 635,906.57/385.88
  6. Step 6: Final answer
    x = 1,647.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.