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Finding the Third Proportional to 386.06 and 886.03

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Solution

The third proportional to 386.06 and 886.03 is: 2,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 886.03 = 886.03 : x
  2. Step 2: Convert to fraction form
    386.06/886.03 = 886.03/x
  3. Step 3: Cross multiply
    386.06x = 886.03 × 886.03
  4. Step 4: Simplify right side
    386.06x = 785,051.38
  5. Step 5: Solve for x
    x = 785,051.38/386.06
  6. Step 6: Final answer
    x = 2,033.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.