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Finding the Third Proportional to 503.26 and 1,080.95

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Solution

The third proportional to 503.26 and 1,080.95 is: 2,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 1,080.95 = 1,080.95 : x
  2. Step 2: Convert to fraction form
    503.26/1,080.95 = 1,080.95/x
  3. Step 3: Cross multiply
    503.26x = 1,080.95 × 1,080.95
  4. Step 4: Simplify right side
    503.26x = 1,168,451.21
  5. Step 5: Solve for x
    x = 1,168,451.21/503.26
  6. Step 6: Final answer
    x = 2,321.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.