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Finding the Third Proportional to 241,900 and 526,800

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Solution

The third proportional to 241,900 and 526,800 is: 1,147,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,900 : 526,800 = 526,800 : x
  2. Step 2: Convert to fraction form
    241,900/526,800 = 526,800/x
  3. Step 3: Cross multiply
    241,900x = 526,800 × 526,800
  4. Step 4: Simplify right side
    241,900x = 277,518,240,000
  5. Step 5: Solve for x
    x = 277,518,240,000/241,900
  6. Step 6: Final answer
    x = 1,147,243.65

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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.