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Finding the Third Proportional to 241,200 and 488,880

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Solution

The third proportional to 241,200 and 488,880 is: 990,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,200 : 488,880 = 488,880 : x
  2. Step 2: Convert to fraction form
    241,200/488,880 = 488,880/x
  3. Step 3: Cross multiply
    241,200x = 488,880 × 488,880
  4. Step 4: Simplify right side
    241,200x = 239,003,654,400
  5. Step 5: Solve for x
    x = 239,003,654,400/241,200
  6. Step 6: Final answer
    x = 990,894.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.