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Finding the Third Proportional to 395,952 and 863,372

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Solution

The third proportional to 395,952 and 863,372 is: 1,882,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,952 : 863,372 = 863,372 : x
  2. Step 2: Convert to fraction form
    395,952/863,372 = 863,372/x
  3. Step 3: Cross multiply
    395,952x = 863,372 × 863,372
  4. Step 4: Simplify right side
    395,952x = 745,411,210,384
  5. Step 5: Solve for x
    x = 745,411,210,384/395,952
  6. Step 6: Final answer
    x = 1,882,579.73

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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.