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Finding the Third Proportional to 299,380.50 and 452,178

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Solution

The third proportional to 299,380.50 and 452,178 is: 682,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380.50 : 452,178 = 452,178 : x
  2. Step 2: Convert to fraction form
    299,380.50/452,178 = 452,178/x
  3. Step 3: Cross multiply
    299,380.50x = 452,178 × 452,178
  4. Step 4: Simplify right side
    299,380.50x = 204,464,943,684
  5. Step 5: Solve for x
    x = 204,464,943,684/299,380.50
  6. Step 6: Final answer
    x = 682,960.12

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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.