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Finding the Third Proportional to 398,767 and 860,147

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Solution

The third proportional to 398,767 and 860,147 is: 1,855,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,767 : 860,147 = 860,147 : x
  2. Step 2: Convert to fraction form
    398,767/860,147 = 860,147/x
  3. Step 3: Cross multiply
    398,767x = 860,147 × 860,147
  4. Step 4: Simplify right side
    398,767x = 739,852,861,609
  5. Step 5: Solve for x
    x = 739,852,861,609/398,767
  6. Step 6: Final answer
    x = 1,855,351.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.