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Finding the Third Proportional to 368,198 and 788,824

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Solution

The third proportional to 368,198 and 788,824 is: 1,689,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,198 : 788,824 = 788,824 : x
  2. Step 2: Convert to fraction form
    368,198/788,824 = 788,824/x
  3. Step 3: Cross multiply
    368,198x = 788,824 × 788,824
  4. Step 4: Simplify right side
    368,198x = 622,243,302,976
  5. Step 5: Solve for x
    x = 622,243,302,976/368,198
  6. Step 6: Final answer
    x = 1,689,969.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.