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Finding the Third Proportional to 660.42 and 1,109.16

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Solution

The third proportional to 660.42 and 1,109.16 is: 1,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 1,109.16 = 1,109.16 : x
  2. Step 2: Convert to fraction form
    660.42/1,109.16 = 1,109.16/x
  3. Step 3: Cross multiply
    660.42x = 1,109.16 × 1,109.16
  4. Step 4: Simplify right side
    660.42x = 1,230,240.58
  5. Step 5: Solve for x
    x = 1,230,240.58/660.42
  6. Step 6: Final answer
    x = 1,862.82

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.