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Finding the Third Proportional to 227,526 and 489,936

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Solution

The third proportional to 227,526 and 489,936 is: 1,054,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,526 : 489,936 = 489,936 : x
  2. Step 2: Convert to fraction form
    227,526/489,936 = 489,936/x
  3. Step 3: Cross multiply
    227,526x = 489,936 × 489,936
  4. Step 4: Simplify right side
    227,526x = 240,037,284,096
  5. Step 5: Solve for x
    x = 240,037,284,096/227,526
  6. Step 6: Final answer
    x = 1,054,988.37

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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.