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Finding the Third Proportional to 213,900.75 and 454,037.91

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Solution

The third proportional to 213,900.75 and 454,037.91 is: 963,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,900.75 : 454,037.91 = 454,037.91 : x
  2. Step 2: Convert to fraction form
    213,900.75/454,037.91 = 454,037.91/x
  3. Step 3: Cross multiply
    213,900.75x = 454,037.91 × 454,037.91
  4. Step 4: Simplify right side
    213,900.75x = 206,150,420,311.88
  5. Step 5: Solve for x
    x = 206,150,420,311.88/213,900.75
  6. Step 6: Final answer
    x = 963,766.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.