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Finding the Third Proportional to 414,786 and 659,538.75

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Solution

The third proportional to 414,786 and 659,538.75 is: 1,048,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,786 : 659,538.75 = 659,538.75 : x
  2. Step 2: Convert to fraction form
    414,786/659,538.75 = 659,538.75/x
  3. Step 3: Cross multiply
    414,786x = 659,538.75 × 659,538.75
  4. Step 4: Simplify right side
    414,786x = 434,991,362,751.56
  5. Step 5: Solve for x
    x = 434,991,362,751.56/414,786
  6. Step 6: Final answer
    x = 1,048,712.74

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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.