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Finding the Third Proportional to 332.44 and 486.21

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Solution

The third proportional to 332.44 and 486.21 is: 711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 486.21 = 486.21 : x
  2. Step 2: Convert to fraction form
    332.44/486.21 = 486.21/x
  3. Step 3: Cross multiply
    332.44x = 486.21 × 486.21
  4. Step 4: Simplify right side
    332.44x = 236,401.08
  5. Step 5: Solve for x
    x = 236,401.08/332.44
  6. Step 6: Final answer
    x = 711.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.