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Finding the Third Proportional to 279,506 and 419,451

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Solution

The third proportional to 279,506 and 419,451 is: 629,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,506 : 419,451 = 419,451 : x
  2. Step 2: Convert to fraction form
    279,506/419,451 = 419,451/x
  3. Step 3: Cross multiply
    279,506x = 419,451 × 419,451
  4. Step 4: Simplify right side
    279,506x = 175,939,141,401
  5. Step 5: Solve for x
    x = 175,939,141,401/279,506
  6. Step 6: Final answer
    x = 629,464.63

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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.