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Finding the Third Proportional to 516.75 and 803.81

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Solution

The third proportional to 516.75 and 803.81 is: 1,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 803.81 = 803.81 : x
  2. Step 2: Convert to fraction form
    516.75/803.81 = 803.81/x
  3. Step 3: Cross multiply
    516.75x = 803.81 × 803.81
  4. Step 4: Simplify right side
    516.75x = 646,114.54
  5. Step 5: Solve for x
    x = 646,114.54/516.75
  6. Step 6: Final answer
    x = 1,250.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.