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Finding the Third Proportional to 331.66 and 720.34

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Solution

The third proportional to 331.66 and 720.34 is: 1,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.66 : 720.34 = 720.34 : x
  2. Step 2: Convert to fraction form
    331.66/720.34 = 720.34/x
  3. Step 3: Cross multiply
    331.66x = 720.34 × 720.34
  4. Step 4: Simplify right side
    331.66x = 518,895.12
  5. Step 5: Solve for x
    x = 518,895.12/331.66
  6. Step 6: Final answer
    x = 1,564.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.