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Finding the Third Proportional to 598.22 and 919.27

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Solution

The third proportional to 598.22 and 919.27 is: 1,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 919.27 = 919.27 : x
  2. Step 2: Convert to fraction form
    598.22/919.27 = 919.27/x
  3. Step 3: Cross multiply
    598.22x = 919.27 × 919.27
  4. Step 4: Simplify right side
    598.22x = 845,049.29
  5. Step 5: Solve for x
    x = 845,049.29/598.22
  6. Step 6: Final answer
    x = 1,412.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.