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Finding the Third Proportional to 399,648.75 and 836,245.50

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Solution

The third proportional to 399,648.75 and 836,245.50 is: 1,749,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,648.75 : 836,245.50 = 836,245.50 : x
  2. Step 2: Convert to fraction form
    399,648.75/836,245.50 = 836,245.50/x
  3. Step 3: Cross multiply
    399,648.75x = 836,245.50 × 836,245.50
  4. Step 4: Simplify right side
    399,648.75x = 699,306,536,270.25
  5. Step 5: Solve for x
    x = 699,306,536,270.25/399,648.75
  6. Step 6: Final answer
    x = 1,749,802.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.