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Finding the Third Proportional to 299,481.50 and 452,341

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Solution

The third proportional to 299,481.50 and 452,341 is: 683,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,481.50 : 452,341 = 452,341 : x
  2. Step 2: Convert to fraction form
    299,481.50/452,341 = 452,341/x
  3. Step 3: Cross multiply
    299,481.50x = 452,341 × 452,341
  4. Step 4: Simplify right side
    299,481.50x = 204,612,380,281
  5. Step 5: Solve for x
    x = 204,612,380,281/299,481.50
  6. Step 6: Final answer
    x = 683,222.10

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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.