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Finding the Third Proportional to 419,552 and 629,184

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Solution

The third proportional to 419,552 and 629,184 is: 943,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,552 : 629,184 = 629,184 : x
  2. Step 2: Convert to fraction form
    419,552/629,184 = 629,184/x
  3. Step 3: Cross multiply
    419,552x = 629,184 × 629,184
  4. Step 4: Simplify right side
    419,552x = 395,872,505,856
  5. Step 5: Solve for x
    x = 395,872,505,856/419,552
  6. Step 6: Final answer
    x = 943,560.05

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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.