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Finding the Third Proportional to 512.13 and 811.88

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Solution

The third proportional to 512.13 and 811.88 is: 1,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.13 : 811.88 = 811.88 : x
  2. Step 2: Convert to fraction form
    512.13/811.88 = 811.88/x
  3. Step 3: Cross multiply
    512.13x = 811.88 × 811.88
  4. Step 4: Simplify right side
    512.13x = 659,141.02
  5. Step 5: Solve for x
    x = 659,141.02/512.13
  6. Step 6: Final answer
    x = 1,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.