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Finding the Third Proportional to 496.76 and 1,080.21

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Solution

The third proportional to 496.76 and 1,080.21 is: 2,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 1,080.21 = 1,080.21 : x
  2. Step 2: Convert to fraction form
    496.76/1,080.21 = 1,080.21/x
  3. Step 3: Cross multiply
    496.76x = 1,080.21 × 1,080.21
  4. Step 4: Simplify right side
    496.76x = 1,166,855.67
  5. Step 5: Solve for x
    x = 1,166,855.67/496.76
  6. Step 6: Final answer
    x = 2,348.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.