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Finding the Third Proportional to 319,346.25 and 444,021.38

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Solution

The third proportional to 319,346.25 and 444,021.38 is: 617,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,346.25 : 444,021.38 = 444,021.38 : x
  2. Step 2: Convert to fraction form
    319,346.25/444,021.38 = 444,021.38/x
  3. Step 3: Cross multiply
    319,346.25x = 444,021.38 × 444,021.38
  4. Step 4: Simplify right side
    319,346.25x = 197,154,981,456.89
  5. Step 5: Solve for x
    x = 197,154,981,456.89/319,346.25
  6. Step 6: Final answer
    x = 617,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.