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Finding the Third Proportional to 490,003.50 and 737,856

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Solution

The third proportional to 490,003.50 and 737,856 is: 1,111,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,003.50 : 737,856 = 737,856 : x
  2. Step 2: Convert to fraction form
    490,003.50/737,856 = 737,856/x
  3. Step 3: Cross multiply
    490,003.50x = 737,856 × 737,856
  4. Step 4: Simplify right side
    490,003.50x = 544,431,476,736
  5. Step 5: Solve for x
    x = 544,431,476,736/490,003.50
  6. Step 6: Final answer
    x = 1,111,076.71

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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.