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Finding the Third Proportional to 279,731 and 421,919

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Solution

The third proportional to 279,731 and 421,919 is: 636,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,731 : 421,919 = 421,919 : x
  2. Step 2: Convert to fraction form
    279,731/421,919 = 421,919/x
  3. Step 3: Cross multiply
    279,731x = 421,919 × 421,919
  4. Step 4: Simplify right side
    279,731x = 178,015,642,561
  5. Step 5: Solve for x
    x = 178,015,642,561/279,731
  6. Step 6: Final answer
    x = 636,381.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.