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Finding the Third Proportional to 322,288 and 671,041

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Solution

The third proportional to 322,288 and 671,041 is: 1,397,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,288 : 671,041 = 671,041 : x
  2. Step 2: Convert to fraction form
    322,288/671,041 = 671,041/x
  3. Step 3: Cross multiply
    322,288x = 671,041 × 671,041
  4. Step 4: Simplify right side
    322,288x = 450,296,023,681
  5. Step 5: Solve for x
    x = 450,296,023,681/322,288
  6. Step 6: Final answer
    x = 1,397,185.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.