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Finding the Third Proportional to 241,208 and 509,172

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Solution

The third proportional to 241,208 and 509,172 is: 1,074,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,208 : 509,172 = 509,172 : x
  2. Step 2: Convert to fraction form
    241,208/509,172 = 509,172/x
  3. Step 3: Cross multiply
    241,208x = 509,172 × 509,172
  4. Step 4: Simplify right side
    241,208x = 259,256,125,584
  5. Step 5: Solve for x
    x = 259,256,125,584/241,208
  6. Step 6: Final answer
    x = 1,074,823.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.