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Finding the Third Proportional to 293,024.25 and 622,019.25

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Solution

The third proportional to 293,024.25 and 622,019.25 is: 1,320,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,024.25 : 622,019.25 = 622,019.25 : x
  2. Step 2: Convert to fraction form
    293,024.25/622,019.25 = 622,019.25/x
  3. Step 3: Cross multiply
    293,024.25x = 622,019.25 × 622,019.25
  4. Step 4: Simplify right side
    293,024.25x = 386,907,947,370.56
  5. Step 5: Solve for x
    x = 386,907,947,370.56/293,024.25
  6. Step 6: Final answer
    x = 1,320,395.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.