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Finding the Third Proportional to 366,986 and 548,773

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Solution

The third proportional to 366,986 and 548,773 is: 820,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 548,773 = 548,773 : x
  2. Step 2: Convert to fraction form
    366,986/548,773 = 548,773/x
  3. Step 3: Cross multiply
    366,986x = 548,773 × 548,773
  4. Step 4: Simplify right side
    366,986x = 301,151,805,529
  5. Step 5: Solve for x
    x = 301,151,805,529/366,986
  6. Step 6: Final answer
    x = 820,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.