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Finding the Third Proportional to 333.70 and 515.67

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Solution

The third proportional to 333.70 and 515.67 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 515.67 = 515.67 : x
  2. Step 2: Convert to fraction form
    333.70/515.67 = 515.67/x
  3. Step 3: Cross multiply
    333.70x = 515.67 × 515.67
  4. Step 4: Simplify right side
    333.70x = 265,917.48
  5. Step 5: Solve for x
    x = 265,917.48/333.70
  6. Step 6: Final answer
    x = 796.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.