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Finding the Third Proportional to 222,333 and 479,658

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Solution

The third proportional to 222,333 and 479,658 is: 1,034,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,333 : 479,658 = 479,658 : x
  2. Step 2: Convert to fraction form
    222,333/479,658 = 479,658/x
  3. Step 3: Cross multiply
    222,333x = 479,658 × 479,658
  4. Step 4: Simplify right side
    222,333x = 230,071,796,964
  5. Step 5: Solve for x
    x = 230,071,796,964/222,333
  6. Step 6: Final answer
    x = 1,034,807.23

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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.