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Finding the Third Proportional to 233,647 and 330,604

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Solution

The third proportional to 233,647 and 330,604 is: 467,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647 : 330,604 = 330,604 : x
  2. Step 2: Convert to fraction form
    233,647/330,604 = 330,604/x
  3. Step 3: Cross multiply
    233,647x = 330,604 × 330,604
  4. Step 4: Simplify right side
    233,647x = 109,299,004,816
  5. Step 5: Solve for x
    x = 109,299,004,816/233,647
  6. Step 6: Final answer
    x = 467,795.46

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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.