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Finding the Third Proportional to 350,302 and 543,516

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Solution

The third proportional to 350,302 and 543,516 is: 843,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,302 : 543,516 = 543,516 : x
  2. Step 2: Convert to fraction form
    350,302/543,516 = 543,516/x
  3. Step 3: Cross multiply
    350,302x = 543,516 × 543,516
  4. Step 4: Simplify right side
    350,302x = 295,409,642,256
  5. Step 5: Solve for x
    x = 295,409,642,256/350,302
  6. Step 6: Final answer
    x = 843,299.90

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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.