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Finding the Third Proportional to 299,338.50 and 452,118

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Solution

The third proportional to 299,338.50 and 452,118 is: 682,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,338.50 : 452,118 = 452,118 : x
  2. Step 2: Convert to fraction form
    299,338.50/452,118 = 452,118/x
  3. Step 3: Cross multiply
    299,338.50x = 452,118 × 452,118
  4. Step 4: Simplify right side
    299,338.50x = 204,410,685,924
  5. Step 5: Solve for x
    x = 204,410,685,924/299,338.50
  6. Step 6: Final answer
    x = 682,874.69

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