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Finding the Third Proportional to 414,589 and 879,000.50

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Solution

The third proportional to 414,589 and 879,000.50 is: 1,863,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,589 : 879,000.50 = 879,000.50 : x
  2. Step 2: Convert to fraction form
    414,589/879,000.50 = 879,000.50/x
  3. Step 3: Cross multiply
    414,589x = 879,000.50 × 879,000.50
  4. Step 4: Simplify right side
    414,589x = 772,641,879,000.25
  5. Step 5: Solve for x
    x = 772,641,879,000.25/414,589
  6. Step 6: Final answer
    x = 1,863,633.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.