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Finding the Third Proportional to 446,264 and 624,189

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Solution

The third proportional to 446,264 and 624,189 is: 873,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,264 : 624,189 = 624,189 : x
  2. Step 2: Convert to fraction form
    446,264/624,189 = 624,189/x
  3. Step 3: Cross multiply
    446,264x = 624,189 × 624,189
  4. Step 4: Simplify right side
    446,264x = 389,611,907,721
  5. Step 5: Solve for x
    x = 389,611,907,721/446,264
  6. Step 6: Final answer
    x = 873,052.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.