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Finding the Third Proportional to 207,468 and 454,005

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Solution

The third proportional to 207,468 and 454,005 is: 993,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,468 : 454,005 = 454,005 : x
  2. Step 2: Convert to fraction form
    207,468/454,005 = 454,005/x
  3. Step 3: Cross multiply
    207,468x = 454,005 × 454,005
  4. Step 4: Simplify right side
    207,468x = 206,120,540,025
  5. Step 5: Solve for x
    x = 206,120,540,025/207,468
  6. Step 6: Final answer
    x = 993,505.22

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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.