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Finding the Third Proportional to 217,104 and 470,816

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Solution

The third proportional to 217,104 and 470,816 is: 1,021,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,104 : 470,816 = 470,816 : x
  2. Step 2: Convert to fraction form
    217,104/470,816 = 470,816/x
  3. Step 3: Cross multiply
    217,104x = 470,816 × 470,816
  4. Step 4: Simplify right side
    217,104x = 221,667,705,856
  5. Step 5: Solve for x
    x = 221,667,705,856/217,104
  6. Step 6: Final answer
    x = 1,021,020.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.