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Finding the Third Proportional to 224,778.32 and 481,618.41

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Solution

The third proportional to 224,778.32 and 481,618.41 is: 1,031,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,778.32 : 481,618.41 = 481,618.41 : x
  2. Step 2: Convert to fraction form
    224,778.32/481,618.41 = 481,618.41/x
  3. Step 3: Cross multiply
    224,778.32x = 481,618.41 × 481,618.41
  4. Step 4: Simplify right side
    224,778.32x = 231,956,289,238.79
  5. Step 5: Solve for x
    x = 231,956,289,238.79/224,778.32
  6. Step 6: Final answer
    x = 1,031,933.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.