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Finding the Third Proportional to 232,422 and 327,294

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Solution

The third proportional to 232,422 and 327,294 is: 460,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,422 : 327,294 = 327,294 : x
  2. Step 2: Convert to fraction form
    232,422/327,294 = 327,294/x
  3. Step 3: Cross multiply
    232,422x = 327,294 × 327,294
  4. Step 4: Simplify right side
    232,422x = 107,121,362,436
  5. Step 5: Solve for x
    x = 107,121,362,436/232,422
  6. Step 6: Final answer
    x = 460,891.66

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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.