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Finding the Third Proportional to 207,619 and 454,007

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Solution

The third proportional to 207,619 and 454,007 is: 992,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,619 : 454,007 = 454,007 : x
  2. Step 2: Convert to fraction form
    207,619/454,007 = 454,007/x
  3. Step 3: Cross multiply
    207,619x = 454,007 × 454,007
  4. Step 4: Simplify right side
    207,619x = 206,122,356,049
  5. Step 5: Solve for x
    x = 206,122,356,049/207,619
  6. Step 6: Final answer
    x = 992,791.39

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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.