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Finding the Third Proportional to 275,397 and 604,993

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Solution

The third proportional to 275,397 and 604,993 is: 1,329,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,397 : 604,993 = 604,993 : x
  2. Step 2: Convert to fraction form
    275,397/604,993 = 604,993/x
  3. Step 3: Cross multiply
    275,397x = 604,993 × 604,993
  4. Step 4: Simplify right side
    275,397x = 366,016,530,049
  5. Step 5: Solve for x
    x = 366,016,530,049/275,397
  6. Step 6: Final answer
    x = 1,329,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.