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Finding the Third Proportional to 207,197 and 453,916

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Solution

The third proportional to 207,197 and 453,916 is: 994,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,197 : 453,916 = 453,916 : x
  2. Step 2: Convert to fraction form
    207,197/453,916 = 453,916/x
  3. Step 3: Cross multiply
    207,197x = 453,916 × 453,916
  4. Step 4: Simplify right side
    207,197x = 206,039,735,056
  5. Step 5: Solve for x
    x = 206,039,735,056/207,197
  6. Step 6: Final answer
    x = 994,414.66

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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.