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Finding the Third Proportional to 222,622 and 333,877

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Solution

The third proportional to 222,622 and 333,877 is: 500,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,622 : 333,877 = 333,877 : x
  2. Step 2: Convert to fraction form
    222,622/333,877 = 333,877/x
  3. Step 3: Cross multiply
    222,622x = 333,877 × 333,877
  4. Step 4: Simplify right side
    222,622x = 111,473,851,129
  5. Step 5: Solve for x
    x = 111,473,851,129/222,622
  6. Step 6: Final answer
    x = 500,731.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.