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Finding the Third Proportional to 516.66 and 1,135.59

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Solution

The third proportional to 516.66 and 1,135.59 is: 2,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 1,135.59 = 1,135.59 : x
  2. Step 2: Convert to fraction form
    516.66/1,135.59 = 1,135.59/x
  3. Step 3: Cross multiply
    516.66x = 1,135.59 × 1,135.59
  4. Step 4: Simplify right side
    516.66x = 1,289,573.17
  5. Step 5: Solve for x
    x = 1,289,573.17/516.66
  6. Step 6: Final answer
    x = 2,496.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.