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Finding the Third Proportional to 226,194 and 470,991

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Solution

The third proportional to 226,194 and 470,991 is: 980,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,194 : 470,991 = 470,991 : x
  2. Step 2: Convert to fraction form
    226,194/470,991 = 470,991/x
  3. Step 3: Cross multiply
    226,194x = 470,991 × 470,991
  4. Step 4: Simplify right side
    226,194x = 221,832,522,081
  5. Step 5: Solve for x
    x = 221,832,522,081/226,194
  6. Step 6: Final answer
    x = 980,717.98

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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.