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Finding the Third Proportional to 323,019 and 452,649

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Solution

The third proportional to 323,019 and 452,649 is: 634,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,019 : 452,649 = 452,649 : x
  2. Step 2: Convert to fraction form
    323,019/452,649 = 452,649/x
  3. Step 3: Cross multiply
    323,019x = 452,649 × 452,649
  4. Step 4: Simplify right side
    323,019x = 204,891,117,201
  5. Step 5: Solve for x
    x = 204,891,117,201/323,019
  6. Step 6: Final answer
    x = 634,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.