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Finding the Third Proportional to 313,497 and 667,453.50

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Solution

The third proportional to 313,497 and 667,453.50 is: 1,421,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,497 : 667,453.50 = 667,453.50 : x
  2. Step 2: Convert to fraction form
    313,497/667,453.50 = 667,453.50/x
  3. Step 3: Cross multiply
    313,497x = 667,453.50 × 667,453.50
  4. Step 4: Simplify right side
    313,497x = 445,494,174,662.25
  5. Step 5: Solve for x
    x = 445,494,174,662.25/313,497
  6. Step 6: Final answer
    x = 1,421,047.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.