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Finding the Third Proportional to 299,211 and 437,244

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Solution

The third proportional to 299,211 and 437,244 is: 638,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211 : 437,244 = 437,244 : x
  2. Step 2: Convert to fraction form
    299,211/437,244 = 437,244/x
  3. Step 3: Cross multiply
    299,211x = 437,244 × 437,244
  4. Step 4: Simplify right side
    299,211x = 191,182,315,536
  5. Step 5: Solve for x
    x = 191,182,315,536/299,211
  6. Step 6: Final answer
    x = 638,954.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.