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Finding the Third Proportional to 222,846 and 476,790

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Solution

The third proportional to 222,846 and 476,790 is: 1,020,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,846 : 476,790 = 476,790 : x
  2. Step 2: Convert to fraction form
    222,846/476,790 = 476,790/x
  3. Step 3: Cross multiply
    222,846x = 476,790 × 476,790
  4. Step 4: Simplify right side
    222,846x = 227,328,704,100
  5. Step 5: Solve for x
    x = 227,328,704,100/222,846
  6. Step 6: Final answer
    x = 1,020,115.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.