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Finding the Third Proportional to 226,119 and 470,841

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Solution

The third proportional to 226,119 and 470,841 is: 980,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,119 : 470,841 = 470,841 : x
  2. Step 2: Convert to fraction form
    226,119/470,841 = 470,841/x
  3. Step 3: Cross multiply
    226,119x = 470,841 × 470,841
  4. Step 4: Simplify right side
    226,119x = 221,691,247,281
  5. Step 5: Solve for x
    x = 221,691,247,281/226,119
  6. Step 6: Final answer
    x = 980,418.48

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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.