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Finding the Third Proportional to 369,128 and 804,954

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Solution

The third proportional to 369,128 and 804,954 is: 1,755,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,128 : 804,954 = 804,954 : x
  2. Step 2: Convert to fraction form
    369,128/804,954 = 804,954/x
  3. Step 3: Cross multiply
    369,128x = 804,954 × 804,954
  4. Step 4: Simplify right side
    369,128x = 647,950,942,116
  5. Step 5: Solve for x
    x = 647,950,942,116/369,128
  6. Step 6: Final answer
    x = 1,755,355.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.