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Finding the Third Proportional to 296,418 and 639,164

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Solution

The third proportional to 296,418 and 639,164 is: 1,378,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,418 : 639,164 = 639,164 : x
  2. Step 2: Convert to fraction form
    296,418/639,164 = 639,164/x
  3. Step 3: Cross multiply
    296,418x = 639,164 × 639,164
  4. Step 4: Simplify right side
    296,418x = 408,530,618,896
  5. Step 5: Solve for x
    x = 408,530,618,896/296,418
  6. Step 6: Final answer
    x = 1,378,224.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.