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Finding the Third Proportional to 232,647.75 and 479,844

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Solution

The third proportional to 232,647.75 and 479,844 is: 989,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,647.75 : 479,844 = 479,844 : x
  2. Step 2: Convert to fraction form
    232,647.75/479,844 = 479,844/x
  3. Step 3: Cross multiply
    232,647.75x = 479,844 × 479,844
  4. Step 4: Simplify right side
    232,647.75x = 230,250,264,336
  5. Step 5: Solve for x
    x = 230,250,264,336/232,647.75
  6. Step 6: Final answer
    x = 989,694.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.