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Finding the Third Proportional to 395,841 and 862,725

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Solution

The third proportional to 395,841 and 862,725 is: 1,880,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,841 : 862,725 = 862,725 : x
  2. Step 2: Convert to fraction form
    395,841/862,725 = 862,725/x
  3. Step 3: Cross multiply
    395,841x = 862,725 × 862,725
  4. Step 4: Simplify right side
    395,841x = 744,294,425,625
  5. Step 5: Solve for x
    x = 744,294,425,625/395,841
  6. Step 6: Final answer
    x = 1,880,286.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.