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Finding the Third Proportional to 336,815 and 522,962

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Solution

The third proportional to 336,815 and 522,962 is: 811,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,815 : 522,962 = 522,962 : x
  2. Step 2: Convert to fraction form
    336,815/522,962 = 522,962/x
  3. Step 3: Cross multiply
    336,815x = 522,962 × 522,962
  4. Step 4: Simplify right side
    336,815x = 273,489,253,444
  5. Step 5: Solve for x
    x = 273,489,253,444/336,815
  6. Step 6: Final answer
    x = 811,986.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.