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Finding the Third Proportional to 506 and 826

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Solution

The third proportional to 506 and 826 is: 1,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 826 = 826 : x
  2. Step 2: Convert to fraction form
    506/826 = 826/x
  3. Step 3: Cross multiply
    506x = 826 × 826
  4. Step 4: Simplify right side
    506x = 682,276
  5. Step 5: Solve for x
    x = 682,276/506
  6. Step 6: Final answer
    x = 1,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.