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Finding the Third Proportional to 232,764 and 355,908

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Solution

The third proportional to 232,764 and 355,908 is: 544,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,764 : 355,908 = 355,908 : x
  2. Step 2: Convert to fraction form
    232,764/355,908 = 355,908/x
  3. Step 3: Cross multiply
    232,764x = 355,908 × 355,908
  4. Step 4: Simplify right side
    232,764x = 126,670,504,464
  5. Step 5: Solve for x
    x = 126,670,504,464/232,764
  6. Step 6: Final answer
    x = 544,201.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.