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Finding the Third Proportional to 516.75 and 1,116.25

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Solution

The third proportional to 516.75 and 1,116.25 is: 2,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 1,116.25 = 1,116.25 : x
  2. Step 2: Convert to fraction form
    516.75/1,116.25 = 1,116.25/x
  3. Step 3: Cross multiply
    516.75x = 1,116.25 × 1,116.25
  4. Step 4: Simplify right side
    516.75x = 1,246,014.06
  5. Step 5: Solve for x
    x = 1,246,014.06/516.75
  6. Step 6: Final answer
    x = 2,411.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.