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Finding the Third Proportional to 374,009 and 811,425

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Solution

The third proportional to 374,009 and 811,425 is: 1,760,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,009 : 811,425 = 811,425 : x
  2. Step 2: Convert to fraction form
    374,009/811,425 = 811,425/x
  3. Step 3: Cross multiply
    374,009x = 811,425 × 811,425
  4. Step 4: Simplify right side
    374,009x = 658,410,530,625
  5. Step 5: Solve for x
    x = 658,410,530,625/374,009
  6. Step 6: Final answer
    x = 1,760,413.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.