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Finding the Third Proportional to 419,458 and 629,232

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Solution

The third proportional to 419,458 and 629,232 is: 943,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,458 : 629,232 = 629,232 : x
  2. Step 2: Convert to fraction form
    419,458/629,232 = 629,232/x
  3. Step 3: Cross multiply
    419,458x = 629,232 × 629,232
  4. Step 4: Simplify right side
    419,458x = 395,932,909,824
  5. Step 5: Solve for x
    x = 395,932,909,824/419,458
  6. Step 6: Final answer
    x = 943,915.50

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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.