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Finding the Third Proportional to 227,855.50 and 490,771

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Solution

The third proportional to 227,855.50 and 490,771 is: 1,057,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,855.50 : 490,771 = 490,771 : x
  2. Step 2: Convert to fraction form
    227,855.50/490,771 = 490,771/x
  3. Step 3: Cross multiply
    227,855.50x = 490,771 × 490,771
  4. Step 4: Simplify right side
    227,855.50x = 240,856,174,441
  5. Step 5: Solve for x
    x = 240,856,174,441/227,855.50
  6. Step 6: Final answer
    x = 1,057,056.66

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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.