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Finding the Third Proportional to 234,659 and 498,406

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Solution

The third proportional to 234,659 and 498,406 is: 1,058,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,659 : 498,406 = 498,406 : x
  2. Step 2: Convert to fraction form
    234,659/498,406 = 498,406/x
  3. Step 3: Cross multiply
    234,659x = 498,406 × 498,406
  4. Step 4: Simplify right side
    234,659x = 248,408,540,836
  5. Step 5: Solve for x
    x = 248,408,540,836/234,659
  6. Step 6: Final answer
    x = 1,058,593.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.