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Finding the Third Proportional to 350,328 and 543,484

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Solution

The third proportional to 350,328 and 543,484 is: 843,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,328 : 543,484 = 543,484 : x
  2. Step 2: Convert to fraction form
    350,328/543,484 = 543,484/x
  3. Step 3: Cross multiply
    350,328x = 543,484 × 543,484
  4. Step 4: Simplify right side
    350,328x = 295,374,858,256
  5. Step 5: Solve for x
    x = 295,374,858,256/350,328
  6. Step 6: Final answer
    x = 843,138.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.