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Finding the Third Proportional to 227,504 and 489,352

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Solution

The third proportional to 227,504 and 489,352 is: 1,052,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,504 : 489,352 = 489,352 : x
  2. Step 2: Convert to fraction form
    227,504/489,352 = 489,352/x
  3. Step 3: Cross multiply
    227,504x = 489,352 × 489,352
  4. Step 4: Simplify right side
    227,504x = 239,465,379,904
  5. Step 5: Solve for x
    x = 239,465,379,904/227,504
  6. Step 6: Final answer
    x = 1,052,576.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.