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Finding the Third Proportional to 299,172.75 and 448,968.75

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Solution

The third proportional to 299,172.75 and 448,968.75 is: 673,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,172.75 : 448,968.75 = 448,968.75 : x
  2. Step 2: Convert to fraction form
    299,172.75/448,968.75 = 448,968.75/x
  3. Step 3: Cross multiply
    299,172.75x = 448,968.75 × 448,968.75
  4. Step 4: Simplify right side
    299,172.75x = 201,572,938,476.56
  5. Step 5: Solve for x
    x = 201,572,938,476.56/299,172.75
  6. Step 6: Final answer
    x = 673,767.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.