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Finding the Third Proportional to 241,756 and 526,524

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Solution

The third proportional to 241,756 and 526,524 is: 1,146,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,756 : 526,524 = 526,524 : x
  2. Step 2: Convert to fraction form
    241,756/526,524 = 526,524/x
  3. Step 3: Cross multiply
    241,756x = 526,524 × 526,524
  4. Step 4: Simplify right side
    241,756x = 277,227,522,576
  5. Step 5: Solve for x
    x = 277,227,522,576/241,756
  6. Step 6: Final answer
    x = 1,146,724.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.