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Finding the Third Proportional to 279,766 and 421,988

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Solution

The third proportional to 279,766 and 421,988 is: 636,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,766 : 421,988 = 421,988 : x
  2. Step 2: Convert to fraction form
    279,766/421,988 = 421,988/x
  3. Step 3: Cross multiply
    279,766x = 421,988 × 421,988
  4. Step 4: Simplify right side
    279,766x = 178,073,872,144
  5. Step 5: Solve for x
    x = 178,073,872,144/279,766
  6. Step 6: Final answer
    x = 636,510.06

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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.