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Finding the Third Proportional to 886.06 and 1,301.69

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Solution

The third proportional to 886.06 and 1,301.69 is: 1,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.06 : 1,301.69 = 1,301.69 : x
  2. Step 2: Convert to fraction form
    886.06/1,301.69 = 1,301.69/x
  3. Step 3: Cross multiply
    886.06x = 1,301.69 × 1,301.69
  4. Step 4: Simplify right side
    886.06x = 1,694,390.35
  5. Step 5: Solve for x
    x = 1,694,390.35/886.06
  6. Step 6: Final answer
    x = 1,912.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.