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Finding the Third Proportional to 399,649.50 and 836,247

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Solution

The third proportional to 399,649.50 and 836,247 is: 1,749,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,649.50 : 836,247 = 836,247 : x
  2. Step 2: Convert to fraction form
    399,649.50/836,247 = 836,247/x
  3. Step 3: Cross multiply
    399,649.50x = 836,247 × 836,247
  4. Step 4: Simplify right side
    399,649.50x = 699,309,045,009
  5. Step 5: Solve for x
    x = 699,309,045,009/399,649.50
  6. Step 6: Final answer
    x = 1,749,805.88

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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.