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Finding the Third Proportional to 227,504 and 489,893

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Solution

The third proportional to 227,504 and 489,893 is: 1,054,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,504 : 489,893 = 489,893 : x
  2. Step 2: Convert to fraction form
    227,504/489,893 = 489,893/x
  3. Step 3: Cross multiply
    227,504x = 489,893 × 489,893
  4. Step 4: Simplify right side
    227,504x = 239,995,151,449
  5. Step 5: Solve for x
    x = 239,995,151,449/227,504
  6. Step 6: Final answer
    x = 1,054,905.19

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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.