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Finding the Third Proportional to 408,422.25 and 610,173

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Solution

The third proportional to 408,422.25 and 610,173 is: 911,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,422.25 : 610,173 = 610,173 : x
  2. Step 2: Convert to fraction form
    408,422.25/610,173 = 610,173/x
  3. Step 3: Cross multiply
    408,422.25x = 610,173 × 610,173
  4. Step 4: Simplify right side
    408,422.25x = 372,311,089,929
  5. Step 5: Solve for x
    x = 372,311,089,929/408,422.25
  6. Step 6: Final answer
    x = 911,583.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.