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Finding the Third Proportional to 385.44 and 832.42

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Solution

The third proportional to 385.44 and 832.42 is: 1,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.44 : 832.42 = 832.42 : x
  2. Step 2: Convert to fraction form
    385.44/832.42 = 832.42/x
  3. Step 3: Cross multiply
    385.44x = 832.42 × 832.42
  4. Step 4: Simplify right side
    385.44x = 692,926.18
  5. Step 5: Solve for x
    x = 692,926.18/385.44
  6. Step 6: Final answer
    x = 1,797.77

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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.