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Finding the Third Proportional to 906.19 and 1,378.27

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Solution

The third proportional to 906.19 and 1,378.27 is: 2,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,378.27 = 1,378.27 : x
  2. Step 2: Convert to fraction form
    906.19/1,378.27 = 1,378.27/x
  3. Step 3: Cross multiply
    906.19x = 1,378.27 × 1,378.27
  4. Step 4: Simplify right side
    906.19x = 1,899,616.13
  5. Step 5: Solve for x
    x = 1,899,616.13/906.19
  6. Step 6: Final answer
    x = 2,096.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.