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Finding the Third Proportional to 322,362 and 350,007

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Solution

The third proportional to 322,362 and 350,007 is: 380,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 350,007 = 350,007 : x
  2. Step 2: Convert to fraction form
    322,362/350,007 = 350,007/x
  3. Step 3: Cross multiply
    322,362x = 350,007 × 350,007
  4. Step 4: Simplify right side
    322,362x = 122,504,900,049
  5. Step 5: Solve for x
    x = 122,504,900,049/322,362
  6. Step 6: Final answer
    x = 380,022.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.