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Finding the Third Proportional to 359,968 and 787,734

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Solution

The third proportional to 359,968 and 787,734 is: 1,723,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,968 : 787,734 = 787,734 : x
  2. Step 2: Convert to fraction form
    359,968/787,734 = 787,734/x
  3. Step 3: Cross multiply
    359,968x = 787,734 × 787,734
  4. Step 4: Simplify right side
    359,968x = 620,524,854,756
  5. Step 5: Solve for x
    x = 620,524,854,756/359,968
  6. Step 6: Final answer
    x = 1,723,833.38

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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.