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Finding the Third Proportional to 226,432.50 and 479,836.50

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Solution

The third proportional to 226,432.50 and 479,836.50 is: 1,016,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,432.50 : 479,836.50 = 479,836.50 : x
  2. Step 2: Convert to fraction form
    226,432.50/479,836.50 = 479,836.50/x
  3. Step 3: Cross multiply
    226,432.50x = 479,836.50 × 479,836.50
  4. Step 4: Simplify right side
    226,432.50x = 230,243,066,732.25
  5. Step 5: Solve for x
    x = 230,243,066,732.25/226,432.50
  6. Step 6: Final answer
    x = 1,016,828.71

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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.