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Finding the Third Proportional to 325.25 and 706.25

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Solution

The third proportional to 325.25 and 706.25 is: 1,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.25 : 706.25 = 706.25 : x
  2. Step 2: Convert to fraction form
    325.25/706.25 = 706.25/x
  3. Step 3: Cross multiply
    325.25x = 706.25 × 706.25
  4. Step 4: Simplify right side
    325.25x = 498,789.06
  5. Step 5: Solve for x
    x = 498,789.06/325.25
  6. Step 6: Final answer
    x = 1,533.56

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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.