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Finding the Third Proportional to 369,936 and 798,144

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Solution

The third proportional to 369,936 and 798,144 is: 1,722,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,936 : 798,144 = 798,144 : x
  2. Step 2: Convert to fraction form
    369,936/798,144 = 798,144/x
  3. Step 3: Cross multiply
    369,936x = 798,144 × 798,144
  4. Step 4: Simplify right side
    369,936x = 637,033,844,736
  5. Step 5: Solve for x
    x = 637,033,844,736/369,936
  6. Step 6: Final answer
    x = 1,722,010.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.