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Finding the Third Proportional to 362,576 and 796,848

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Solution

The third proportional to 362,576 and 796,848 is: 1,751,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,576 : 796,848 = 796,848 : x
  2. Step 2: Convert to fraction form
    362,576/796,848 = 796,848/x
  3. Step 3: Cross multiply
    362,576x = 796,848 × 796,848
  4. Step 4: Simplify right side
    362,576x = 634,966,735,104
  5. Step 5: Solve for x
    x = 634,966,735,104/362,576
  6. Step 6: Final answer
    x = 1,751,265.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.