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Finding the Third Proportional to 522.73 and 769.66

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Solution

The third proportional to 522.73 and 769.66 is: 1,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 769.66 = 769.66 : x
  2. Step 2: Convert to fraction form
    522.73/769.66 = 769.66/x
  3. Step 3: Cross multiply
    522.73x = 769.66 × 769.66
  4. Step 4: Simplify right side
    522.73x = 592,376.29
  5. Step 5: Solve for x
    x = 592,376.29/522.73
  6. Step 6: Final answer
    x = 1,133.23

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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.