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Finding the Third Proportional to 226,629 and 472,104

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Solution

The third proportional to 226,629 and 472,104 is: 983,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,629 : 472,104 = 472,104 : x
  2. Step 2: Convert to fraction form
    226,629/472,104 = 472,104/x
  3. Step 3: Cross multiply
    226,629x = 472,104 × 472,104
  4. Step 4: Simplify right side
    226,629x = 222,882,186,816
  5. Step 5: Solve for x
    x = 222,882,186,816/226,629
  6. Step 6: Final answer
    x = 983,467.19

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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.