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Finding the Third Proportional to 322,478 and 671,424

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Solution

The third proportional to 322,478 and 671,424 is: 1,397,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,478 : 671,424 = 671,424 : x
  2. Step 2: Convert to fraction form
    322,478/671,424 = 671,424/x
  3. Step 3: Cross multiply
    322,478x = 671,424 × 671,424
  4. Step 4: Simplify right side
    322,478x = 450,810,187,776
  5. Step 5: Solve for x
    x = 450,810,187,776/322,478
  6. Step 6: Final answer
    x = 1,397,956.41

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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.