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Finding the Third Proportional to 228,992 and 496,100

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Solution

The third proportional to 228,992 and 496,100 is: 1,074,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,992 : 496,100 = 496,100 : x
  2. Step 2: Convert to fraction form
    228,992/496,100 = 496,100/x
  3. Step 3: Cross multiply
    228,992x = 496,100 × 496,100
  4. Step 4: Simplify right side
    228,992x = 246,115,210,000
  5. Step 5: Solve for x
    x = 246,115,210,000/228,992
  6. Step 6: Final answer
    x = 1,074,776.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.