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Finding the Third Proportional to 367,902 and 804,087

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Solution

The third proportional to 367,902 and 804,087 is: 1,757,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,902 : 804,087 = 804,087 : x
  2. Step 2: Convert to fraction form
    367,902/804,087 = 804,087/x
  3. Step 3: Cross multiply
    367,902x = 804,087 × 804,087
  4. Step 4: Simplify right side
    367,902x = 646,555,903,569
  5. Step 5: Solve for x
    x = 646,555,903,569/367,902
  6. Step 6: Final answer
    x = 1,757,413.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.