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Finding the Third Proportional to 293,975.25 and 644,001

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Solution

The third proportional to 293,975.25 and 644,001 is: 1,410,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,975.25 : 644,001 = 644,001 : x
  2. Step 2: Convert to fraction form
    293,975.25/644,001 = 644,001/x
  3. Step 3: Cross multiply
    293,975.25x = 644,001 × 644,001
  4. Step 4: Simplify right side
    293,975.25x = 414,737,288,001
  5. Step 5: Solve for x
    x = 414,737,288,001/293,975.25
  6. Step 6: Final answer
    x = 1,410,789.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.