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Finding the Third Proportional to 207,796 and 454,471

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Solution

The third proportional to 207,796 and 454,471 is: 993,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,796 : 454,471 = 454,471 : x
  2. Step 2: Convert to fraction form
    207,796/454,471 = 454,471/x
  3. Step 3: Cross multiply
    207,796x = 454,471 × 454,471
  4. Step 4: Simplify right side
    207,796x = 206,543,889,841
  5. Step 5: Solve for x
    x = 206,543,889,841/207,796
  6. Step 6: Final answer
    x = 993,974.33

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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.