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Finding the Third Proportional to 294,144 and 622,956

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Solution

The third proportional to 294,144 and 622,956 is: 1,319,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,144 : 622,956 = 622,956 : x
  2. Step 2: Convert to fraction form
    294,144/622,956 = 622,956/x
  3. Step 3: Cross multiply
    294,144x = 622,956 × 622,956
  4. Step 4: Simplify right side
    294,144x = 388,074,177,936
  5. Step 5: Solve for x
    x = 388,074,177,936/294,144
  6. Step 6: Final answer
    x = 1,319,333.99

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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.