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Finding the Third Proportional to 232,512 and 486,051

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Solution

The third proportional to 232,512 and 486,051 is: 1,016,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,512 : 486,051 = 486,051 : x
  2. Step 2: Convert to fraction form
    232,512/486,051 = 486,051/x
  3. Step 3: Cross multiply
    232,512x = 486,051 × 486,051
  4. Step 4: Simplify right side
    232,512x = 236,245,574,601
  5. Step 5: Solve for x
    x = 236,245,574,601/232,512
  6. Step 6: Final answer
    x = 1,016,057.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.