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Finding the Third Proportional to 207,622 and 454,018

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Solution

The third proportional to 207,622 and 454,018 is: 992,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,622 : 454,018 = 454,018 : x
  2. Step 2: Convert to fraction form
    207,622/454,018 = 454,018/x
  3. Step 3: Cross multiply
    207,622x = 454,018 × 454,018
  4. Step 4: Simplify right side
    207,622x = 206,132,344,324
  5. Step 5: Solve for x
    x = 206,132,344,324/207,622
  6. Step 6: Final answer
    x = 992,825.15

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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.