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Finding the Third Proportional to 310.75 and 721.75

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Solution

The third proportional to 310.75 and 721.75 is: 1,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.75 : 721.75 = 721.75 : x
  2. Step 2: Convert to fraction form
    310.75/721.75 = 721.75/x
  3. Step 3: Cross multiply
    310.75x = 721.75 × 721.75
  4. Step 4: Simplify right side
    310.75x = 520,923.06
  5. Step 5: Solve for x
    x = 520,923.06/310.75
  6. Step 6: Final answer
    x = 1,676.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.