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Finding the Third Proportional to 386.31 and 833.31

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Solution

The third proportional to 386.31 and 833.31 is: 1,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.31 : 833.31 = 833.31 : x
  2. Step 2: Convert to fraction form
    386.31/833.31 = 833.31/x
  3. Step 3: Cross multiply
    386.31x = 833.31 × 833.31
  4. Step 4: Simplify right side
    386.31x = 694,409.72
  5. Step 5: Solve for x
    x = 694,409.72/386.31
  6. Step 6: Final answer
    x = 1,797.53

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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.