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Finding the Third Proportional to 419,457 and 629,230

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Solution

The third proportional to 419,457 and 629,230 is: 943,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,457 : 629,230 = 629,230 : x
  2. Step 2: Convert to fraction form
    419,457/629,230 = 629,230/x
  3. Step 3: Cross multiply
    419,457x = 629,230 × 629,230
  4. Step 4: Simplify right side
    419,457x = 395,930,392,900
  5. Step 5: Solve for x
    x = 395,930,392,900/419,457
  6. Step 6: Final answer
    x = 943,911.75

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