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Finding the Third Proportional to 299,335.50 and 452,112.75

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Solution

The third proportional to 299,335.50 and 452,112.75 is: 682,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335.50 : 452,112.75 = 452,112.75 : x
  2. Step 2: Convert to fraction form
    299,335.50/452,112.75 = 452,112.75/x
  3. Step 3: Cross multiply
    299,335.50x = 452,112.75 × 452,112.75
  4. Step 4: Simplify right side
    299,335.50x = 204,405,938,712.56
  5. Step 5: Solve for x
    x = 204,405,938,712.56/299,335.50
  6. Step 6: Final answer
    x = 682,865.68

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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.