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Finding the Third Proportional to 310.75 and 718.38

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Solution

The third proportional to 310.75 and 718.38 is: 1,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.75 : 718.38 = 718.38 : x
  2. Step 2: Convert to fraction form
    310.75/718.38 = 718.38/x
  3. Step 3: Cross multiply
    310.75x = 718.38 × 718.38
  4. Step 4: Simplify right side
    310.75x = 516,062.64
  5. Step 5: Solve for x
    x = 516,062.64/310.75
  6. Step 6: Final answer
    x = 1,660.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.