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Finding the Third Proportional to 991.69 and 1,487.25

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Solution

The third proportional to 991.69 and 1,487.25 is: 2,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.69 : 1,487.25 = 1,487.25 : x
  2. Step 2: Convert to fraction form
    991.69/1,487.25 = 1,487.25/x
  3. Step 3: Cross multiply
    991.69x = 1,487.25 × 1,487.25
  4. Step 4: Simplify right side
    991.69x = 2,211,912.56
  5. Step 5: Solve for x
    x = 2,211,912.56/991.69
  6. Step 6: Final answer
    x = 2,230.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.