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Finding the Third Proportional to 232,904 and 350,523

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Solution

The third proportional to 232,904 and 350,523 is: 527,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,904 : 350,523 = 350,523 : x
  2. Step 2: Convert to fraction form
    232,904/350,523 = 350,523/x
  3. Step 3: Cross multiply
    232,904x = 350,523 × 350,523
  4. Step 4: Simplify right side
    232,904x = 122,866,373,529
  5. Step 5: Solve for x
    x = 122,866,373,529/232,904
  6. Step 6: Final answer
    x = 527,540.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.