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Finding the Third Proportional to 232,833 and 511,388

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Solution

The third proportional to 232,833 and 511,388 is: 1,123,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,833 : 511,388 = 511,388 : x
  2. Step 2: Convert to fraction form
    232,833/511,388 = 511,388/x
  3. Step 3: Cross multiply
    232,833x = 511,388 × 511,388
  4. Step 4: Simplify right side
    232,833x = 261,517,686,544
  5. Step 5: Solve for x
    x = 261,517,686,544/232,833
  6. Step 6: Final answer
    x = 1,123,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.