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Finding the Third Proportional to 368,738 and 804,218

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Solution

The third proportional to 368,738 and 804,218 is: 1,754,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,738 : 804,218 = 804,218 : x
  2. Step 2: Convert to fraction form
    368,738/804,218 = 804,218/x
  3. Step 3: Cross multiply
    368,738x = 804,218 × 804,218
  4. Step 4: Simplify right side
    368,738x = 646,766,591,524
  5. Step 5: Solve for x
    x = 646,766,591,524/368,738
  6. Step 6: Final answer
    x = 1,754,000.38

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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.