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Finding the Third Proportional to 331.97 and 722.16

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Solution

The third proportional to 331.97 and 722.16 is: 1,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 722.16 = 722.16 : x
  2. Step 2: Convert to fraction form
    331.97/722.16 = 722.16/x
  3. Step 3: Cross multiply
    331.97x = 722.16 × 722.16
  4. Step 4: Simplify right side
    331.97x = 521,509.65
  5. Step 5: Solve for x
    x = 521,509.65/331.97
  6. Step 6: Final answer
    x = 1,570.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.