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Finding the Third Proportional to 419,468 and 629,250

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Solution

The third proportional to 419,468 and 629,250 is: 943,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,468 : 629,250 = 629,250 : x
  2. Step 2: Convert to fraction form
    419,468/629,250 = 629,250/x
  3. Step 3: Cross multiply
    419,468x = 629,250 × 629,250
  4. Step 4: Simplify right side
    419,468x = 395,955,562,500
  5. Step 5: Solve for x
    x = 395,955,562,500/419,468
  6. Step 6: Final answer
    x = 943,947.01

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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.