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Finding the Third Proportional to 300,922 and 467,451

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Solution

The third proportional to 300,922 and 467,451 is: 726,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,922 : 467,451 = 467,451 : x
  2. Step 2: Convert to fraction form
    300,922/467,451 = 467,451/x
  3. Step 3: Cross multiply
    300,922x = 467,451 × 467,451
  4. Step 4: Simplify right side
    300,922x = 218,510,437,401
  5. Step 5: Solve for x
    x = 218,510,437,401/300,922
  6. Step 6: Final answer
    x = 726,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.