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Finding the Third Proportional to 207,380 and 454,934

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Solution

The third proportional to 207,380 and 454,934 is: 997,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,380 : 454,934 = 454,934 : x
  2. Step 2: Convert to fraction form
    207,380/454,934 = 454,934/x
  3. Step 3: Cross multiply
    207,380x = 454,934 × 454,934
  4. Step 4: Simplify right side
    207,380x = 206,964,944,356
  5. Step 5: Solve for x
    x = 206,964,944,356/207,380
  6. Step 6: Final answer
    x = 997,998.57

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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.