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Finding the Third Proportional to 258,612 and 401,372

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Solution

The third proportional to 258,612 and 401,372 is: 622,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,612 : 401,372 = 401,372 : x
  2. Step 2: Convert to fraction form
    258,612/401,372 = 401,372/x
  3. Step 3: Cross multiply
    258,612x = 401,372 × 401,372
  4. Step 4: Simplify right side
    258,612x = 161,099,482,384
  5. Step 5: Solve for x
    x = 161,099,482,384/258,612
  6. Step 6: Final answer
    x = 622,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.