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Finding the Third Proportional to 927.25 and 1,435.25

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Solution

The third proportional to 927.25 and 1,435.25 is: 2,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.25 : 1,435.25 = 1,435.25 : x
  2. Step 2: Convert to fraction form
    927.25/1,435.25 = 1,435.25/x
  3. Step 3: Cross multiply
    927.25x = 1,435.25 × 1,435.25
  4. Step 4: Simplify right side
    927.25x = 2,059,942.56
  5. Step 5: Solve for x
    x = 2,059,942.56/927.25
  6. Step 6: Final answer
    x = 2,221.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.