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Finding the Third Proportional to 366,956 and 543,622

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Solution

The third proportional to 366,956 and 543,622 is: 805,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,956 : 543,622 = 543,622 : x
  2. Step 2: Convert to fraction form
    366,956/543,622 = 543,622/x
  3. Step 3: Cross multiply
    366,956x = 543,622 × 543,622
  4. Step 4: Simplify right side
    366,956x = 295,524,878,884
  5. Step 5: Solve for x
    x = 295,524,878,884/366,956
  6. Step 6: Final answer
    x = 805,341.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.