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Finding the Third Proportional to 330,682.50 and 496,995.75

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Solution

The third proportional to 330,682.50 and 496,995.75 is: 746,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,682.50 : 496,995.75 = 496,995.75 : x
  2. Step 2: Convert to fraction form
    330,682.50/496,995.75 = 496,995.75/x
  3. Step 3: Cross multiply
    330,682.50x = 496,995.75 × 496,995.75
  4. Step 4: Simplify right side
    330,682.50x = 247,004,775,518.06
  5. Step 5: Solve for x
    x = 247,004,775,518.06/330,682.50
  6. Step 6: Final answer
    x = 746,954.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.