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Finding the Third Proportional to 414,625 and 624,859.50

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Solution

The third proportional to 414,625 and 624,859.50 is: 941,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,625 : 624,859.50 = 624,859.50 : x
  2. Step 2: Convert to fraction form
    414,625/624,859.50 = 624,859.50/x
  3. Step 3: Cross multiply
    414,625x = 624,859.50 × 624,859.50
  4. Step 4: Simplify right side
    414,625x = 390,449,394,740.25
  5. Step 5: Solve for x
    x = 390,449,394,740.25/414,625
  6. Step 6: Final answer
    x = 941,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.