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Finding the Third Proportional to 313.75 and 731.75

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Solution

The third proportional to 313.75 and 731.75 is: 1,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 731.75 = 731.75 : x
  2. Step 2: Convert to fraction form
    313.75/731.75 = 731.75/x
  3. Step 3: Cross multiply
    313.75x = 731.75 × 731.75
  4. Step 4: Simplify right side
    313.75x = 535,458.06
  5. Step 5: Solve for x
    x = 535,458.06/313.75
  6. Step 6: Final answer
    x = 1,706.64

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.