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Finding the Third Proportional to 321,529.50 and 699,556.50

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Solution

The third proportional to 321,529.50 and 699,556.50 is: 1,522,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,529.50 : 699,556.50 = 699,556.50 : x
  2. Step 2: Convert to fraction form
    321,529.50/699,556.50 = 699,556.50/x
  3. Step 3: Cross multiply
    321,529.50x = 699,556.50 × 699,556.50
  4. Step 4: Simplify right side
    321,529.50x = 489,379,296,692.25
  5. Step 5: Solve for x
    x = 489,379,296,692.25/321,529.50
  6. Step 6: Final answer
    x = 1,522,035.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.