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Finding the Third Proportional to 311,926 and 444,561

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Solution

The third proportional to 311,926 and 444,561 is: 633,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,926 : 444,561 = 444,561 : x
  2. Step 2: Convert to fraction form
    311,926/444,561 = 444,561/x
  3. Step 3: Cross multiply
    311,926x = 444,561 × 444,561
  4. Step 4: Simplify right side
    311,926x = 197,634,482,721
  5. Step 5: Solve for x
    x = 197,634,482,721/311,926
  6. Step 6: Final answer
    x = 633,594.13

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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.