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Finding the Third Proportional to 644.06 and 1,434.09

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Solution

The third proportional to 644.06 and 1,434.09 is: 3,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 1,434.09 = 1,434.09 : x
  2. Step 2: Convert to fraction form
    644.06/1,434.09 = 1,434.09/x
  3. Step 3: Cross multiply
    644.06x = 1,434.09 × 1,434.09
  4. Step 4: Simplify right side
    644.06x = 2,056,624.88
  5. Step 5: Solve for x
    x = 2,056,624.88/644.06
  6. Step 6: Final answer
    x = 3,193.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.