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Finding the Third Proportional to 207,192 and 453,906

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Solution

The third proportional to 207,192 and 453,906 is: 994,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,192 : 453,906 = 453,906 : x
  2. Step 2: Convert to fraction form
    207,192/453,906 = 453,906/x
  3. Step 3: Cross multiply
    207,192x = 453,906 × 453,906
  4. Step 4: Simplify right side
    207,192x = 206,030,656,836
  5. Step 5: Solve for x
    x = 206,030,656,836/207,192
  6. Step 6: Final answer
    x = 994,394.85

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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.