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Finding the Third Proportional to 920.81 and 2,223.56

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Solution

The third proportional to 920.81 and 2,223.56 is: 5,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 2,223.56 = 2,223.56 : x
  2. Step 2: Convert to fraction form
    920.81/2,223.56 = 2,223.56/x
  3. Step 3: Cross multiply
    920.81x = 2,223.56 × 2,223.56
  4. Step 4: Simplify right side
    920.81x = 4,944,230.19
  5. Step 5: Solve for x
    x = 4,944,230.19/920.81
  6. Step 6: Final answer
    x = 5,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.