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Finding the Third Proportional to 516.94 and 1,133.72

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Solution

The third proportional to 516.94 and 1,133.72 is: 2,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 1,133.72 = 1,133.72 : x
  2. Step 2: Convert to fraction form
    516.94/1,133.72 = 1,133.72/x
  3. Step 3: Cross multiply
    516.94x = 1,133.72 × 1,133.72
  4. Step 4: Simplify right side
    516.94x = 1,285,318.20
  5. Step 5: Solve for x
    x = 1,285,318.20/516.94
  6. Step 6: Final answer
    x = 2,486.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.