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Finding the Third Proportional to 418.61 and 921.22

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Solution

The third proportional to 418.61 and 921.22 is: 2,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 921.22 = 921.22 : x
  2. Step 2: Convert to fraction form
    418.61/921.22 = 921.22/x
  3. Step 3: Cross multiply
    418.61x = 921.22 × 921.22
  4. Step 4: Simplify right side
    418.61x = 848,640.39
  5. Step 5: Solve for x
    x = 848,640.39/418.61
  6. Step 6: Final answer
    x = 2,027.30

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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.