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Finding the Third Proportional to 332,162 and 522,051

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Solution

The third proportional to 332,162 and 522,051 is: 820,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,162 : 522,051 = 522,051 : x
  2. Step 2: Convert to fraction form
    332,162/522,051 = 522,051/x
  3. Step 3: Cross multiply
    332,162x = 522,051 × 522,051
  4. Step 4: Simplify right side
    332,162x = 272,537,246,601
  5. Step 5: Solve for x
    x = 272,537,246,601/332,162
  6. Step 6: Final answer
    x = 820,494.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.