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Finding the Third Proportional to 232,424 and 327,297

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Solution

The third proportional to 232,424 and 327,297 is: 460,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,424 : 327,297 = 327,297 : x
  2. Step 2: Convert to fraction form
    232,424/327,297 = 327,297/x
  3. Step 3: Cross multiply
    232,424x = 327,297 × 327,297
  4. Step 4: Simplify right side
    232,424x = 107,123,326,209
  5. Step 5: Solve for x
    x = 107,123,326,209/232,424
  6. Step 6: Final answer
    x = 460,896.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.