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Finding the Third Proportional to 321.25 and 693.63

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Solution

The third proportional to 321.25 and 693.63 is: 1,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.25 : 693.63 = 693.63 : x
  2. Step 2: Convert to fraction form
    321.25/693.63 = 693.63/x
  3. Step 3: Cross multiply
    321.25x = 693.63 × 693.63
  4. Step 4: Simplify right side
    321.25x = 481,115.64
  5. Step 5: Solve for x
    x = 481,115.64/321.25
  6. Step 6: Final answer
    x = 1,497.64

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