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Finding the Third Proportional to 472.61 and 1,027.27

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Solution

The third proportional to 472.61 and 1,027.27 is: 2,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.61 : 1,027.27 = 1,027.27 : x
  2. Step 2: Convert to fraction form
    472.61/1,027.27 = 1,027.27/x
  3. Step 3: Cross multiply
    472.61x = 1,027.27 × 1,027.27
  4. Step 4: Simplify right side
    472.61x = 1,055,274.66
  5. Step 5: Solve for x
    x = 1,055,274.66/472.61
  6. Step 6: Final answer
    x = 2,232.89

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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.