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Finding the Third Proportional to 311,924 and 444,558

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Solution

The third proportional to 311,924 and 444,558 is: 633,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924 : 444,558 = 444,558 : x
  2. Step 2: Convert to fraction form
    311,924/444,558 = 444,558/x
  3. Step 3: Cross multiply
    311,924x = 444,558 × 444,558
  4. Step 4: Simplify right side
    311,924x = 197,631,815,364
  5. Step 5: Solve for x
    x = 197,631,815,364/311,924
  6. Step 6: Final answer
    x = 633,589.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.