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Finding the Third Proportional to 472.75 and 1,021.56

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Solution

The third proportional to 472.75 and 1,021.56 is: 2,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 1,021.56 = 1,021.56 : x
  2. Step 2: Convert to fraction form
    472.75/1,021.56 = 1,021.56/x
  3. Step 3: Cross multiply
    472.75x = 1,021.56 × 1,021.56
  4. Step 4: Simplify right side
    472.75x = 1,043,589.94
  5. Step 5: Solve for x
    x = 1,043,589.94/472.75
  6. Step 6: Final answer
    x = 2,207.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.