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Finding the Third Proportional to 320,086.50 and 699,231

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Solution

The third proportional to 320,086.50 and 699,231 is: 1,527,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,086.50 : 699,231 = 699,231 : x
  2. Step 2: Convert to fraction form
    320,086.50/699,231 = 699,231/x
  3. Step 3: Cross multiply
    320,086.50x = 699,231 × 699,231
  4. Step 4: Simplify right side
    320,086.50x = 488,923,991,361
  5. Step 5: Solve for x
    x = 488,923,991,361/320,086.50
  6. Step 6: Final answer
    x = 1,527,474.58

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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.