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Finding the Third Proportional to 299,173.50 and 645,912

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Solution

The third proportional to 299,173.50 and 645,912 is: 1,394,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,173.50 : 645,912 = 645,912 : x
  2. Step 2: Convert to fraction form
    299,173.50/645,912 = 645,912/x
  3. Step 3: Cross multiply
    299,173.50x = 645,912 × 645,912
  4. Step 4: Simplify right side
    299,173.50x = 417,202,311,744
  5. Step 5: Solve for x
    x = 417,202,311,744/299,173.50
  6. Step 6: Final answer
    x = 1,394,516.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.