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Finding the Third Proportional to 366,954 and 543,627

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Solution

The third proportional to 366,954 and 543,627 is: 805,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,954 : 543,627 = 543,627 : x
  2. Step 2: Convert to fraction form
    366,954/543,627 = 543,627/x
  3. Step 3: Cross multiply
    366,954x = 543,627 × 543,627
  4. Step 4: Simplify right side
    366,954x = 295,530,315,129
  5. Step 5: Solve for x
    x = 295,530,315,129/366,954
  6. Step 6: Final answer
    x = 805,360.66

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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.