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Finding the Third Proportional to 260,850.50 and 414,621.75

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Solution

The third proportional to 260,850.50 and 414,621.75 is: 659,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,850.50 : 414,621.75 = 414,621.75 : x
  2. Step 2: Convert to fraction form
    260,850.50/414,621.75 = 414,621.75/x
  3. Step 3: Cross multiply
    260,850.50x = 414,621.75 × 414,621.75
  4. Step 4: Simplify right side
    260,850.50x = 171,911,195,573.06
  5. Step 5: Solve for x
    x = 171,911,195,573.06/260,850.50
  6. Step 6: Final answer
    x = 659,041.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.