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Finding the Third Proportional to 419,491.50 and 629,282.25

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Solution

The third proportional to 419,491.50 and 629,282.25 is: 943,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,491.50 : 629,282.25 = 629,282.25 : x
  2. Step 2: Convert to fraction form
    419,491.50/629,282.25 = 629,282.25/x
  3. Step 3: Cross multiply
    419,491.50x = 629,282.25 × 629,282.25
  4. Step 4: Simplify right side
    419,491.50x = 395,996,150,165.06
  5. Step 5: Solve for x
    x = 395,996,150,165.06/419,491.50
  6. Step 6: Final answer
    x = 943,990.88

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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.