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Finding the Third Proportional to 362,880 and 796,608

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Solution

The third proportional to 362,880 and 796,608 is: 1,748,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 796,608 = 796,608 : x
  2. Step 2: Convert to fraction form
    362,880/796,608 = 796,608/x
  3. Step 3: Cross multiply
    362,880x = 796,608 × 796,608
  4. Step 4: Simplify right side
    362,880x = 634,584,305,664
  5. Step 5: Solve for x
    x = 634,584,305,664/362,880
  6. Step 6: Final answer
    x = 1,748,744.23

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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.