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Finding the Third Proportional to 299,164.50 and 448,967.25

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Solution

The third proportional to 299,164.50 and 448,967.25 is: 673,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.50 : 448,967.25 = 448,967.25 : x
  2. Step 2: Convert to fraction form
    299,164.50/448,967.25 = 448,967.25/x
  3. Step 3: Cross multiply
    299,164.50x = 448,967.25 × 448,967.25
  4. Step 4: Simplify right side
    299,164.50x = 201,571,591,572.56
  5. Step 5: Solve for x
    x = 201,571,591,572.56/299,164.50
  6. Step 6: Final answer
    x = 673,781.79

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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.