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Finding the Third Proportional to 498,434.50 and 773,227

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Solution

The third proportional to 498,434.50 and 773,227 is: 1,199,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,434.50 : 773,227 = 773,227 : x
  2. Step 2: Convert to fraction form
    498,434.50/773,227 = 773,227/x
  3. Step 3: Cross multiply
    498,434.50x = 773,227 × 773,227
  4. Step 4: Simplify right side
    498,434.50x = 597,879,993,529
  5. Step 5: Solve for x
    x = 597,879,993,529/498,434.50
  6. Step 6: Final answer
    x = 1,199,515.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.