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Finding the Third Proportional to 222,820 and 481,147

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Solution

The third proportional to 222,820 and 481,147 is: 1,038,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,820 : 481,147 = 481,147 : x
  2. Step 2: Convert to fraction form
    222,820/481,147 = 481,147/x
  3. Step 3: Cross multiply
    222,820x = 481,147 × 481,147
  4. Step 4: Simplify right side
    222,820x = 231,502,435,609
  5. Step 5: Solve for x
    x = 231,502,435,609/222,820
  6. Step 6: Final answer
    x = 1,038,966.14

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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.