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Finding the Third Proportional to 241,084 and 504,200

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Solution

The third proportional to 241,084 and 504,200 is: 1,054,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,084 : 504,200 = 504,200 : x
  2. Step 2: Convert to fraction form
    241,084/504,200 = 504,200/x
  3. Step 3: Cross multiply
    241,084x = 504,200 × 504,200
  4. Step 4: Simplify right side
    241,084x = 254,217,640,000
  5. Step 5: Solve for x
    x = 254,217,640,000/241,084
  6. Step 6: Final answer
    x = 1,054,477.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.