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Finding the Third Proportional to 283,219.50 and 455,811.75

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Solution

The third proportional to 283,219.50 and 455,811.75 is: 733,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.50 : 455,811.75 = 455,811.75 : x
  2. Step 2: Convert to fraction form
    283,219.50/455,811.75 = 455,811.75/x
  3. Step 3: Cross multiply
    283,219.50x = 455,811.75 × 455,811.75
  4. Step 4: Simplify right side
    283,219.50x = 207,764,351,438.06
  5. Step 5: Solve for x
    x = 207,764,351,438.06/283,219.50
  6. Step 6: Final answer
    x = 733,580.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.