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Finding the Third Proportional to 226,364.63 and 479,709.84

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Solution

The third proportional to 226,364.63 and 479,709.84 is: 1,016,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364.63 : 479,709.84 = 479,709.84 : x
  2. Step 2: Convert to fraction form
    226,364.63/479,709.84 = 479,709.84/x
  3. Step 3: Cross multiply
    226,364.63x = 479,709.84 × 479,709.84
  4. Step 4: Simplify right side
    226,364.63x = 230,121,534,190.65
  5. Step 5: Solve for x
    x = 230,121,534,190.65/226,364.63
  6. Step 6: Final answer
    x = 1,016,596.72

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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.