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Finding the Third Proportional to 222,999.75 and 464,460.75

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Solution

The third proportional to 222,999.75 and 464,460.75 is: 967,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,999.75 : 464,460.75 = 464,460.75 : x
  2. Step 2: Convert to fraction form
    222,999.75/464,460.75 = 464,460.75/x
  3. Step 3: Cross multiply
    222,999.75x = 464,460.75 × 464,460.75
  4. Step 4: Simplify right side
    222,999.75x = 215,723,788,290.56
  5. Step 5: Solve for x
    x = 215,723,788,290.56/222,999.75
  6. Step 6: Final answer
    x = 967,372.33

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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.