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Finding the Third Proportional to 217,012 and 470,110

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Solution

The third proportional to 217,012 and 470,110 is: 1,018,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,012 : 470,110 = 470,110 : x
  2. Step 2: Convert to fraction form
    217,012/470,110 = 470,110/x
  3. Step 3: Cross multiply
    217,012x = 470,110 × 470,110
  4. Step 4: Simplify right side
    217,012x = 221,003,412,100
  5. Step 5: Solve for x
    x = 221,003,412,100/217,012
  6. Step 6: Final answer
    x = 1,018,392.59

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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.