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Finding the Third Proportional to 207,801 and 454,482

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Solution

The third proportional to 207,801 and 454,482 is: 993,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,801 : 454,482 = 454,482 : x
  2. Step 2: Convert to fraction form
    207,801/454,482 = 454,482/x
  3. Step 3: Cross multiply
    207,801x = 454,482 × 454,482
  4. Step 4: Simplify right side
    207,801x = 206,553,888,324
  5. Step 5: Solve for x
    x = 206,553,888,324/207,801
  6. Step 6: Final answer
    x = 993,998.53

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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.