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Finding the Third Proportional to 422,416.50 and 874,761

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Solution

The third proportional to 422,416.50 and 874,761 is: 1,811,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,416.50 : 874,761 = 874,761 : x
  2. Step 2: Convert to fraction form
    422,416.50/874,761 = 874,761/x
  3. Step 3: Cross multiply
    422,416.50x = 874,761 × 874,761
  4. Step 4: Simplify right side
    422,416.50x = 765,206,807,121
  5. Step 5: Solve for x
    x = 765,206,807,121/422,416.50
  6. Step 6: Final answer
    x = 1,811,498.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.