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Finding the Third Proportional to 395,684 and 876,760

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Solution

The third proportional to 395,684 and 876,760 is: 1,942,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,684 : 876,760 = 876,760 : x
  2. Step 2: Convert to fraction form
    395,684/876,760 = 876,760/x
  3. Step 3: Cross multiply
    395,684x = 876,760 × 876,760
  4. Step 4: Simplify right side
    395,684x = 768,708,097,600
  5. Step 5: Solve for x
    x = 768,708,097,600/395,684
  6. Step 6: Final answer
    x = 1,942,732.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.