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Finding the Third Proportional to 660.66 and 989.72

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Solution

The third proportional to 660.66 and 989.72 is: 1,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.66 : 989.72 = 989.72 : x
  2. Step 2: Convert to fraction form
    660.66/989.72 = 989.72/x
  3. Step 3: Cross multiply
    660.66x = 989.72 × 989.72
  4. Step 4: Simplify right side
    660.66x = 979,543.20
  5. Step 5: Solve for x
    x = 979,543.20/660.66
  6. Step 6: Final answer
    x = 1,482.68

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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.