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Finding the Third Proportional to 299,560.50 and 452,459.25

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Solution

The third proportional to 299,560.50 and 452,459.25 is: 683,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560.50 : 452,459.25 = 452,459.25 : x
  2. Step 2: Convert to fraction form
    299,560.50/452,459.25 = 452,459.25/x
  3. Step 3: Cross multiply
    299,560.50x = 452,459.25 × 452,459.25
  4. Step 4: Simplify right side
    299,560.50x = 204,719,372,910.56
  5. Step 5: Solve for x
    x = 204,719,372,910.56/299,560.50
  6. Step 6: Final answer
    x = 683,399.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.