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Finding the Third Proportional to 232,944 and 496,392

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Solution

The third proportional to 232,944 and 496,392 is: 1,057,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,944 : 496,392 = 496,392 : x
  2. Step 2: Convert to fraction form
    232,944/496,392 = 496,392/x
  3. Step 3: Cross multiply
    232,944x = 496,392 × 496,392
  4. Step 4: Simplify right side
    232,944x = 246,405,017,664
  5. Step 5: Solve for x
    x = 246,405,017,664/232,944
  6. Step 6: Final answer
    x = 1,057,786.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.