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Finding the Third Proportional to 330.73 and 486.21

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Solution

The third proportional to 330.73 and 486.21 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.73 : 486.21 = 486.21 : x
  2. Step 2: Convert to fraction form
    330.73/486.21 = 486.21/x
  3. Step 3: Cross multiply
    330.73x = 486.21 × 486.21
  4. Step 4: Simplify right side
    330.73x = 236,401.08
  5. Step 5: Solve for x
    x = 236,401.08/330.73
  6. Step 6: Final answer
    x = 714.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.