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Finding the Third Proportional to 359,942 and 775,180

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Solution

The third proportional to 359,942 and 775,180 is: 1,669,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,942 : 775,180 = 775,180 : x
  2. Step 2: Convert to fraction form
    359,942/775,180 = 775,180/x
  3. Step 3: Cross multiply
    359,942x = 775,180 × 775,180
  4. Step 4: Simplify right side
    359,942x = 600,904,032,400
  5. Step 5: Solve for x
    x = 600,904,032,400/359,942
  6. Step 6: Final answer
    x = 1,669,446.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.