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Finding the Third Proportional to 258,072 and 526,512

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Solution

The third proportional to 258,072 and 526,512 is: 1,074,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,072 : 526,512 = 526,512 : x
  2. Step 2: Convert to fraction form
    258,072/526,512 = 526,512/x
  3. Step 3: Cross multiply
    258,072x = 526,512 × 526,512
  4. Step 4: Simplify right side
    258,072x = 277,214,886,144
  5. Step 5: Solve for x
    x = 277,214,886,144/258,072
  6. Step 6: Final answer
    x = 1,074,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.