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Finding the Third Proportional to 499,828.50 and 1,099,266

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Solution

The third proportional to 499,828.50 and 1,099,266 is: 2,417,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,828.50 : 1,099,266 = 1,099,266 : x
  2. Step 2: Convert to fraction form
    499,828.50/1,099,266 = 1,099,266/x
  3. Step 3: Cross multiply
    499,828.50x = 1,099,266 × 1,099,266
  4. Step 4: Simplify right side
    499,828.50x = 1,208,385,738,756
  5. Step 5: Solve for x
    x = 1,208,385,738,756/499,828.50
  6. Step 6: Final answer
    x = 2,417,600.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.