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Finding the Third Proportional to 423.94 and 927.56

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Solution

The third proportional to 423.94 and 927.56 is: 2,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 927.56 = 927.56 : x
  2. Step 2: Convert to fraction form
    423.94/927.56 = 927.56/x
  3. Step 3: Cross multiply
    423.94x = 927.56 × 927.56
  4. Step 4: Simplify right side
    423.94x = 860,372.19
  5. Step 5: Solve for x
    x = 860,372.19/423.94
  6. Step 6: Final answer
    x = 2,029.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.