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Finding the Third Proportional to 228,967 and 496,069

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Solution

The third proportional to 228,967 and 496,069 is: 1,074,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,967 : 496,069 = 496,069 : x
  2. Step 2: Convert to fraction form
    228,967/496,069 = 496,069/x
  3. Step 3: Cross multiply
    228,967x = 496,069 × 496,069
  4. Step 4: Simplify right side
    228,967x = 246,084,452,761
  5. Step 5: Solve for x
    x = 246,084,452,761/228,967
  6. Step 6: Final answer
    x = 1,074,759.48

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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.