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Finding the Third Proportional to 222,676.50 and 480,048

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Solution

The third proportional to 222,676.50 and 480,048 is: 1,034,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,676.50 : 480,048 = 480,048 : x
  2. Step 2: Convert to fraction form
    222,676.50/480,048 = 480,048/x
  3. Step 3: Cross multiply
    222,676.50x = 480,048 × 480,048
  4. Step 4: Simplify right side
    222,676.50x = 230,446,082,304
  5. Step 5: Solve for x
    x = 230,446,082,304/222,676.50
  6. Step 6: Final answer
    x = 1,034,891.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.