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Finding the Third Proportional to 327.25 and 706.63

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Solution

The third proportional to 327.25 and 706.63 is: 1,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 706.63 = 706.63 : x
  2. Step 2: Convert to fraction form
    327.25/706.63 = 706.63/x
  3. Step 3: Cross multiply
    327.25x = 706.63 × 706.63
  4. Step 4: Simplify right side
    327.25x = 499,318.89
  5. Step 5: Solve for x
    x = 499,318.89/327.25
  6. Step 6: Final answer
    x = 1,525.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.