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Finding the Third Proportional to 305,131.50 and 459,924.75

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Solution

The third proportional to 305,131.50 and 459,924.75 is: 693,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.50 : 459,924.75 = 459,924.75 : x
  2. Step 2: Convert to fraction form
    305,131.50/459,924.75 = 459,924.75/x
  3. Step 3: Cross multiply
    305,131.50x = 459,924.75 × 459,924.75
  4. Step 4: Simplify right side
    305,131.50x = 211,530,775,662.56
  5. Step 5: Solve for x
    x = 211,530,775,662.56/305,131.50
  6. Step 6: Final answer
    x = 693,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.