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Finding the Third Proportional to 228,424 and 526,456

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Solution

The third proportional to 228,424 and 526,456 is: 1,213,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,424 : 526,456 = 526,456 : x
  2. Step 2: Convert to fraction form
    228,424/526,456 = 526,456/x
  3. Step 3: Cross multiply
    228,424x = 526,456 × 526,456
  4. Step 4: Simplify right side
    228,424x = 277,155,919,936
  5. Step 5: Solve for x
    x = 277,155,919,936/228,424
  6. Step 6: Final answer
    x = 1,213,339.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.