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Finding the Third Proportional to 395,476 and 612,874

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Solution

The third proportional to 395,476 and 612,874 is: 949,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,476 : 612,874 = 612,874 : x
  2. Step 2: Convert to fraction form
    395,476/612,874 = 612,874/x
  3. Step 3: Cross multiply
    395,476x = 612,874 × 612,874
  4. Step 4: Simplify right side
    395,476x = 375,614,539,876
  5. Step 5: Solve for x
    x = 375,614,539,876/395,476
  6. Step 6: Final answer
    x = 949,778.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.