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Finding the Third Proportional to 234,474.12 and 477,234.91

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Solution

The third proportional to 234,474.12 and 477,234.91 is: 971,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,474.12 : 477,234.91 = 477,234.91 : x
  2. Step 2: Convert to fraction form
    234,474.12/477,234.91 = 477,234.91/x
  3. Step 3: Cross multiply
    234,474.12x = 477,234.91 × 477,234.91
  4. Step 4: Simplify right side
    234,474.12x = 227,753,163,200.24
  5. Step 5: Solve for x
    x = 227,753,163,200.24/234,474.12
  6. Step 6: Final answer
    x = 971,336.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.