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Finding the Third Proportional to 359,781 and 792,002

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Solution

The third proportional to 359,781 and 792,002 is: 1,743,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,781 : 792,002 = 792,002 : x
  2. Step 2: Convert to fraction form
    359,781/792,002 = 792,002/x
  3. Step 3: Cross multiply
    359,781x = 792,002 × 792,002
  4. Step 4: Simplify right side
    359,781x = 627,267,168,004
  5. Step 5: Solve for x
    x = 627,267,168,004/359,781
  6. Step 6: Final answer
    x = 1,743,469.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.