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Finding the Third Proportional to 516.75 and 784.38

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Solution

The third proportional to 516.75 and 784.38 is: 1,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 784.38 = 784.38 : x
  2. Step 2: Convert to fraction form
    516.75/784.38 = 784.38/x
  3. Step 3: Cross multiply
    516.75x = 784.38 × 784.38
  4. Step 4: Simplify right side
    516.75x = 615,244.14
  5. Step 5: Solve for x
    x = 615,244.14/516.75
  6. Step 6: Final answer
    x = 1,190.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.