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Finding the Third Proportional to 579.66 and 1,274.91

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Solution

The third proportional to 579.66 and 1,274.91 is: 2,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 1,274.91 = 1,274.91 : x
  2. Step 2: Convert to fraction form
    579.66/1,274.91 = 1,274.91/x
  3. Step 3: Cross multiply
    579.66x = 1,274.91 × 1,274.91
  4. Step 4: Simplify right side
    579.66x = 1,625,385.95
  5. Step 5: Solve for x
    x = 1,625,385.95/579.66
  6. Step 6: Final answer
    x = 2,804.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.