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Finding the Third Proportional to 206,406 and 328,370

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Solution

The third proportional to 206,406 and 328,370 is: 522,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406 : 328,370 = 328,370 : x
  2. Step 2: Convert to fraction form
    206,406/328,370 = 328,370/x
  3. Step 3: Cross multiply
    206,406x = 328,370 × 328,370
  4. Step 4: Simplify right side
    206,406x = 107,826,856,900
  5. Step 5: Solve for x
    x = 107,826,856,900/206,406
  6. Step 6: Final answer
    x = 522,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.