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Finding the Third Proportional to 262,577 and 396,971

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Solution

The third proportional to 262,577 and 396,971 is: 600,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577 : 396,971 = 396,971 : x
  2. Step 2: Convert to fraction form
    262,577/396,971 = 396,971/x
  3. Step 3: Cross multiply
    262,577x = 396,971 × 396,971
  4. Step 4: Simplify right side
    262,577x = 157,585,974,841
  5. Step 5: Solve for x
    x = 157,585,974,841/262,577
  6. Step 6: Final answer
    x = 600,151.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.