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Finding the Third Proportional to 394,851 and 595,830

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Solution

The third proportional to 394,851 and 595,830 is: 899,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,851 : 595,830 = 595,830 : x
  2. Step 2: Convert to fraction form
    394,851/595,830 = 595,830/x
  3. Step 3: Cross multiply
    394,851x = 595,830 × 595,830
  4. Step 4: Simplify right side
    394,851x = 355,013,388,900
  5. Step 5: Solve for x
    x = 355,013,388,900/394,851
  6. Step 6: Final answer
    x = 899,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.