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Finding the Third Proportional to 359,811 and 833,067

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Solution

The third proportional to 359,811 and 833,067 is: 1,928,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,811 : 833,067 = 833,067 : x
  2. Step 2: Convert to fraction form
    359,811/833,067 = 833,067/x
  3. Step 3: Cross multiply
    359,811x = 833,067 × 833,067
  4. Step 4: Simplify right side
    359,811x = 694,000,626,489
  5. Step 5: Solve for x
    x = 694,000,626,489/359,811
  6. Step 6: Final answer
    x = 1,928,792.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.