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Finding the Third Proportional to 660.23 and 1,423.83

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Solution

The third proportional to 660.23 and 1,423.83 is: 3,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.23 : 1,423.83 = 1,423.83 : x
  2. Step 2: Convert to fraction form
    660.23/1,423.83 = 1,423.83/x
  3. Step 3: Cross multiply
    660.23x = 1,423.83 × 1,423.83
  4. Step 4: Simplify right side
    660.23x = 2,027,286.53
  5. Step 5: Solve for x
    x = 2,027,286.53/660.23
  6. Step 6: Final answer
    x = 3,070.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.