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Finding the Third Proportional to 367,462 and 551,189

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Solution

The third proportional to 367,462 and 551,189 is: 826,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,462 : 551,189 = 551,189 : x
  2. Step 2: Convert to fraction form
    367,462/551,189 = 551,189/x
  3. Step 3: Cross multiply
    367,462x = 551,189 × 551,189
  4. Step 4: Simplify right side
    367,462x = 303,809,313,721
  5. Step 5: Solve for x
    x = 303,809,313,721/367,462
  6. Step 6: Final answer
    x = 826,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.