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Finding the Third Proportional to 366,955 and 773,807

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Solution

The third proportional to 366,955 and 773,807 is: 1,631,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,955 : 773,807 = 773,807 : x
  2. Step 2: Convert to fraction form
    366,955/773,807 = 773,807/x
  3. Step 3: Cross multiply
    366,955x = 773,807 × 773,807
  4. Step 4: Simplify right side
    366,955x = 598,777,273,249
  5. Step 5: Solve for x
    x = 598,777,273,249/366,955
  6. Step 6: Final answer
    x = 1,631,745.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.