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Finding the Third Proportional to 310.25 and 462

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Solution

The third proportional to 310.25 and 462 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    310.25/462 = 462/x
  3. Step 3: Cross multiply
    310.25x = 462 × 462
  4. Step 4: Simplify right side
    310.25x = 213,444
  5. Step 5: Solve for x
    x = 213,444/310.25
  6. Step 6: Final answer
    x = 687.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.