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Finding the Third Proportional to 896.38 and 1,384.44

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Solution

The third proportional to 896.38 and 1,384.44 is: 2,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.38 : 1,384.44 = 1,384.44 : x
  2. Step 2: Convert to fraction form
    896.38/1,384.44 = 1,384.44/x
  3. Step 3: Cross multiply
    896.38x = 1,384.44 × 1,384.44
  4. Step 4: Simplify right side
    896.38x = 1,916,661.78
  5. Step 5: Solve for x
    x = 1,916,661.78/896.38
  6. Step 6: Final answer
    x = 2,138.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.