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Finding the Third Proportional to 579.02 and 1,254.23

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Solution

The third proportional to 579.02 and 1,254.23 is: 2,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.02 : 1,254.23 = 1,254.23 : x
  2. Step 2: Convert to fraction form
    579.02/1,254.23 = 1,254.23/x
  3. Step 3: Cross multiply
    579.02x = 1,254.23 × 1,254.23
  4. Step 4: Simplify right side
    579.02x = 1,573,103.87
  5. Step 5: Solve for x
    x = 1,573,103.87/579.02
  6. Step 6: Final answer
    x = 2,716.82

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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.