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Finding the Third Proportional to 640.50 and 1,353.56

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Solution

The third proportional to 640.50 and 1,353.56 is: 2,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 1,353.56 = 1,353.56 : x
  2. Step 2: Convert to fraction form
    640.50/1,353.56 = 1,353.56/x
  3. Step 3: Cross multiply
    640.50x = 1,353.56 × 1,353.56
  4. Step 4: Simplify right side
    640.50x = 1,832,131.44
  5. Step 5: Solve for x
    x = 1,832,131.44/640.50
  6. Step 6: Final answer
    x = 2,860.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.