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Finding the Third Proportional to 207,909 and 455,593

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Solution

The third proportional to 207,909 and 455,593 is: 998,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909 : 455,593 = 455,593 : x
  2. Step 2: Convert to fraction form
    207,909/455,593 = 455,593/x
  3. Step 3: Cross multiply
    207,909x = 455,593 × 455,593
  4. Step 4: Simplify right side
    207,909x = 207,564,981,649
  5. Step 5: Solve for x
    x = 207,564,981,649/207,909
  6. Step 6: Final answer
    x = 998,345.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.