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Finding the Third Proportional to 331.80 and 492.43

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Solution

The third proportional to 331.80 and 492.43 is: 730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.80 : 492.43 = 492.43 : x
  2. Step 2: Convert to fraction form
    331.80/492.43 = 492.43/x
  3. Step 3: Cross multiply
    331.80x = 492.43 × 492.43
  4. Step 4: Simplify right side
    331.80x = 242,490.84
  5. Step 5: Solve for x
    x = 242,490.84/331.80
  6. Step 6: Final answer
    x = 730.82

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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.