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Finding the Third Proportional to 523.34 and 766.34

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Solution

The third proportional to 523.34 and 766.34 is: 1,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 766.34 = 766.34 : x
  2. Step 2: Convert to fraction form
    523.34/766.34 = 766.34/x
  3. Step 3: Cross multiply
    523.34x = 766.34 × 766.34
  4. Step 4: Simplify right side
    523.34x = 587,270.77
  5. Step 5: Solve for x
    x = 587,270.77/523.34
  6. Step 6: Final answer
    x = 1,122.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.