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Finding the Third Proportional to 523.13 and 766.69

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Solution

The third proportional to 523.13 and 766.69 is: 1,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 766.69 = 766.69 : x
  2. Step 2: Convert to fraction form
    523.13/766.69 = 766.69/x
  3. Step 3: Cross multiply
    523.13x = 766.69 × 766.69
  4. Step 4: Simplify right side
    523.13x = 587,809.72
  5. Step 5: Solve for x
    x = 587,809.72/523.13
  6. Step 6: Final answer
    x = 1,123.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.