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Finding the Third Proportional to 523 and 606

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Solution

The third proportional to 523 and 606 is: 702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 606 = 606 : x
  2. Step 2: Convert to fraction form
    523/606 = 606/x
  3. Step 3: Cross multiply
    523x = 606 × 606
  4. Step 4: Simplify right side
    523x = 367,236
  5. Step 5: Solve for x
    x = 367,236/523
  6. Step 6: Final answer
    x = 702.17

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.