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Finding the Third Proportional to 371.50 and 1,004.75

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Solution

The third proportional to 371.50 and 1,004.75 is: 2,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 1,004.75 = 1,004.75 : x
  2. Step 2: Convert to fraction form
    371.50/1,004.75 = 1,004.75/x
  3. Step 3: Cross multiply
    371.50x = 1,004.75 × 1,004.75
  4. Step 4: Simplify right side
    371.50x = 1,009,522.56
  5. Step 5: Solve for x
    x = 1,009,522.56/371.50
  6. Step 6: Final answer
    x = 2,717.42

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.