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Finding the Third Proportional to 226,441.50 and 462,714

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Solution

The third proportional to 226,441.50 and 462,714 is: 945,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,441.50 : 462,714 = 462,714 : x
  2. Step 2: Convert to fraction form
    226,441.50/462,714 = 462,714/x
  3. Step 3: Cross multiply
    226,441.50x = 462,714 × 462,714
  4. Step 4: Simplify right side
    226,441.50x = 214,104,245,796
  5. Step 5: Solve for x
    x = 214,104,245,796/226,441.50
  6. Step 6: Final answer
    x = 945,516.81

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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.