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Finding the Third Proportional to 1,227.38 and 1,725.94

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Solution

The third proportional to 1,227.38 and 1,725.94 is: 2,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.38 : 1,725.94 = 1,725.94 : x
  2. Step 2: Convert to fraction form
    1,227.38/1,725.94 = 1,725.94/x
  3. Step 3: Cross multiply
    1,227.38x = 1,725.94 × 1,725.94
  4. Step 4: Simplify right side
    1,227.38x = 2,978,860.25
  5. Step 5: Solve for x
    x = 2,978,860.25/1,227.38
  6. Step 6: Final answer
    x = 2,427.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.