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Finding the Third Proportional to 523.02 and 766.02

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Solution

The third proportional to 523.02 and 766.02 is: 1,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 766.02 = 766.02 : x
  2. Step 2: Convert to fraction form
    523.02/766.02 = 766.02/x
  3. Step 3: Cross multiply
    523.02x = 766.02 × 766.02
  4. Step 4: Simplify right side
    523.02x = 586,785.92
  5. Step 5: Solve for x
    x = 586,785.92/523.02
  6. Step 6: Final answer
    x = 1,121.92

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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.