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Finding the Third Proportional to 583.97 and 892.83

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Solution

The third proportional to 583.97 and 892.83 is: 1,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 892.83 = 892.83 : x
  2. Step 2: Convert to fraction form
    583.97/892.83 = 892.83/x
  3. Step 3: Cross multiply
    583.97x = 892.83 × 892.83
  4. Step 4: Simplify right side
    583.97x = 797,142.06
  5. Step 5: Solve for x
    x = 797,142.06/583.97
  6. Step 6: Final answer
    x = 1,365.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.