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Finding the Third Proportional to 259,727.63 and 414,924.75

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Solution

The third proportional to 259,727.63 and 414,924.75 is: 662,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727.63 : 414,924.75 = 414,924.75 : x
  2. Step 2: Convert to fraction form
    259,727.63/414,924.75 = 414,924.75/x
  3. Step 3: Cross multiply
    259,727.63x = 414,924.75 × 414,924.75
  4. Step 4: Simplify right side
    259,727.63x = 172,162,548,162.56
  5. Step 5: Solve for x
    x = 172,162,548,162.56/259,727.63
  6. Step 6: Final answer
    x = 662,858.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.