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Finding the Third Proportional to 222,057 and 475,842

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Solution

The third proportional to 222,057 and 475,842 is: 1,019,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,057 : 475,842 = 475,842 : x
  2. Step 2: Convert to fraction form
    222,057/475,842 = 475,842/x
  3. Step 3: Cross multiply
    222,057x = 475,842 × 475,842
  4. Step 4: Simplify right side
    222,057x = 226,425,608,964
  5. Step 5: Solve for x
    x = 226,425,608,964/222,057
  6. Step 6: Final answer
    x = 1,019,673.37

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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.