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Finding the Third Proportional to 213,002 and 454,484

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Solution

The third proportional to 213,002 and 454,484 is: 969,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,002 : 454,484 = 454,484 : x
  2. Step 2: Convert to fraction form
    213,002/454,484 = 454,484/x
  3. Step 3: Cross multiply
    213,002x = 454,484 × 454,484
  4. Step 4: Simplify right side
    213,002x = 206,555,706,256
  5. Step 5: Solve for x
    x = 206,555,706,256/213,002
  6. Step 6: Final answer
    x = 969,735.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.