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Finding the Third Proportional to 226,187.44 and 470,979.56

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Solution

The third proportional to 226,187.44 and 470,979.56 is: 980,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,187.44 : 470,979.56 = 470,979.56 : x
  2. Step 2: Convert to fraction form
    226,187.44/470,979.56 = 470,979.56/x
  3. Step 3: Cross multiply
    226,187.44x = 470,979.56 × 470,979.56
  4. Step 4: Simplify right side
    226,187.44x = 221,821,748,292.69
  5. Step 5: Solve for x
    x = 221,821,748,292.69/226,187.44
  6. Step 6: Final answer
    x = 980,698.80

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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.