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Finding the Third Proportional to 270.21 and 641.04

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Solution

The third proportional to 270.21 and 641.04 is: 1,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.21 : 641.04 = 641.04 : x
  2. Step 2: Convert to fraction form
    270.21/641.04 = 641.04/x
  3. Step 3: Cross multiply
    270.21x = 641.04 × 641.04
  4. Step 4: Simplify right side
    270.21x = 410,931.08
  5. Step 5: Solve for x
    x = 410,931.08/270.21
  6. Step 6: Final answer
    x = 1,520.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.