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Finding the Third Proportional to 583.06 and 1,249.41

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Solution

The third proportional to 583.06 and 1,249.41 is: 2,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.06 : 1,249.41 = 1,249.41 : x
  2. Step 2: Convert to fraction form
    583.06/1,249.41 = 1,249.41/x
  3. Step 3: Cross multiply
    583.06x = 1,249.41 × 1,249.41
  4. Step 4: Simplify right side
    583.06x = 1,561,023.30
  5. Step 5: Solve for x
    x = 1,561,023.30/583.06
  6. Step 6: Final answer
    x = 2,677.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.