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Finding the Third Proportional to 270.84 and 523.34

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Solution

The third proportional to 270.84 and 523.34 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 523.34 = 523.34 : x
  2. Step 2: Convert to fraction form
    270.84/523.34 = 523.34/x
  3. Step 3: Cross multiply
    270.84x = 523.34 × 523.34
  4. Step 4: Simplify right side
    270.84x = 273,880.50
  5. Step 5: Solve for x
    x = 273,880.50/270.84
  6. Step 6: Final answer
    x = 1,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.