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Finding the Third Proportional to 662.02 and 981.42

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Solution

The third proportional to 662.02 and 981.42 is: 1,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 981.42 = 981.42 : x
  2. Step 2: Convert to fraction form
    662.02/981.42 = 981.42/x
  3. Step 3: Cross multiply
    662.02x = 981.42 × 981.42
  4. Step 4: Simplify right side
    662.02x = 963,188.90
  5. Step 5: Solve for x
    x = 963,188.90/662.02
  6. Step 6: Final answer
    x = 1,454.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.