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Finding the Third Proportional to 226,947 and 488,907

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Solution

The third proportional to 226,947 and 488,907 is: 1,053,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,947 : 488,907 = 488,907 : x
  2. Step 2: Convert to fraction form
    226,947/488,907 = 488,907/x
  3. Step 3: Cross multiply
    226,947x = 488,907 × 488,907
  4. Step 4: Simplify right side
    226,947x = 239,030,054,649
  5. Step 5: Solve for x
    x = 239,030,054,649/226,947
  6. Step 6: Final answer
    x = 1,053,241.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.