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Finding the Third Proportional to 226,384.50 and 471,520.50

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Solution

The third proportional to 226,384.50 and 471,520.50 is: 982,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,384.50 : 471,520.50 = 471,520.50 : x
  2. Step 2: Convert to fraction form
    226,384.50/471,520.50 = 471,520.50/x
  3. Step 3: Cross multiply
    226,384.50x = 471,520.50 × 471,520.50
  4. Step 4: Simplify right side
    226,384.50x = 222,331,581,920.25
  5. Step 5: Solve for x
    x = 222,331,581,920.25/226,384.50
  6. Step 6: Final answer
    x = 982,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.