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Finding the Third Proportional to 393,233 and 860,059

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Solution

The third proportional to 393,233 and 860,059 is: 1,881,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,233 : 860,059 = 860,059 : x
  2. Step 2: Convert to fraction form
    393,233/860,059 = 860,059/x
  3. Step 3: Cross multiply
    393,233x = 860,059 × 860,059
  4. Step 4: Simplify right side
    393,233x = 739,701,483,481
  5. Step 5: Solve for x
    x = 739,701,483,481/393,233
  6. Step 6: Final answer
    x = 1,881,076.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.