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Finding the Third Proportional to 516.75 and 809.25

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Solution

The third proportional to 516.75 and 809.25 is: 1,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 809.25 = 809.25 : x
  2. Step 2: Convert to fraction form
    516.75/809.25 = 809.25/x
  3. Step 3: Cross multiply
    516.75x = 809.25 × 809.25
  4. Step 4: Simplify right side
    516.75x = 654,885.56
  5. Step 5: Solve for x
    x = 654,885.56/516.75
  6. Step 6: Final answer
    x = 1,267.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.