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Finding the Third Proportional to 299,958.75 and 421,929

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Solution

The third proportional to 299,958.75 and 421,929 is: 593,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,958.75 : 421,929 = 421,929 : x
  2. Step 2: Convert to fraction form
    299,958.75/421,929 = 421,929/x
  3. Step 3: Cross multiply
    299,958.75x = 421,929 × 421,929
  4. Step 4: Simplify right side
    299,958.75x = 178,024,081,041
  5. Step 5: Solve for x
    x = 178,024,081,041/299,958.75
  6. Step 6: Final answer
    x = 593,495.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.