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Finding the Third Proportional to 394,960 and 595,918

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Solution

The third proportional to 394,960 and 595,918 is: 899,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,960 : 595,918 = 595,918 : x
  2. Step 2: Convert to fraction form
    394,960/595,918 = 595,918/x
  3. Step 3: Cross multiply
    394,960x = 595,918 × 595,918
  4. Step 4: Simplify right side
    394,960x = 355,118,262,724
  5. Step 5: Solve for x
    x = 355,118,262,724/394,960
  6. Step 6: Final answer
    x = 899,124.63

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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.