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Finding the Third Proportional to 206,049 and 434,607

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Solution

The third proportional to 206,049 and 434,607 is: 916,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,049 : 434,607 = 434,607 : x
  2. Step 2: Convert to fraction form
    206,049/434,607 = 434,607/x
  3. Step 3: Cross multiply
    206,049x = 434,607 × 434,607
  4. Step 4: Simplify right side
    206,049x = 188,883,244,449
  5. Step 5: Solve for x
    x = 188,883,244,449/206,049
  6. Step 6: Final answer
    x = 916,690.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.