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Finding the Third Proportional to 228,992 and 496,102

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Solution

The third proportional to 228,992 and 496,102 is: 1,074,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,992 : 496,102 = 496,102 : x
  2. Step 2: Convert to fraction form
    228,992/496,102 = 496,102/x
  3. Step 3: Cross multiply
    228,992x = 496,102 × 496,102
  4. Step 4: Simplify right side
    228,992x = 246,117,194,404
  5. Step 5: Solve for x
    x = 246,117,194,404/228,992
  6. Step 6: Final answer
    x = 1,074,785.12

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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.