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Finding the Third Proportional to 327.31 and 712.25

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Solution

The third proportional to 327.31 and 712.25 is: 1,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.31 : 712.25 = 712.25 : x
  2. Step 2: Convert to fraction form
    327.31/712.25 = 712.25/x
  3. Step 3: Cross multiply
    327.31x = 712.25 × 712.25
  4. Step 4: Simplify right side
    327.31x = 507,300.06
  5. Step 5: Solve for x
    x = 507,300.06/327.31
  6. Step 6: Final answer
    x = 1,549.90

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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.