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Finding the Third Proportional to 366,938 and 543,603

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Solution

The third proportional to 366,938 and 543,603 is: 805,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,938 : 543,603 = 543,603 : x
  2. Step 2: Convert to fraction form
    366,938/543,603 = 543,603/x
  3. Step 3: Cross multiply
    366,938x = 543,603 × 543,603
  4. Step 4: Simplify right side
    366,938x = 295,504,221,609
  5. Step 5: Solve for x
    x = 295,504,221,609/366,938
  6. Step 6: Final answer
    x = 805,324.66

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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.