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Finding the Third Proportional to 327.45 and 712.62

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Solution

The third proportional to 327.45 and 712.62 is: 1,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 712.62 = 712.62 : x
  2. Step 2: Convert to fraction form
    327.45/712.62 = 712.62/x
  3. Step 3: Cross multiply
    327.45x = 712.62 × 712.62
  4. Step 4: Simplify right side
    327.45x = 507,823.26
  5. Step 5: Solve for x
    x = 507,823.26/327.45
  6. Step 6: Final answer
    x = 1,550.86

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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.