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Finding the Third Proportional to 227,858 and 490,777

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Solution

The third proportional to 227,858 and 490,777 is: 1,057,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,858 : 490,777 = 490,777 : x
  2. Step 2: Convert to fraction form
    227,858/490,777 = 490,777/x
  3. Step 3: Cross multiply
    227,858x = 490,777 × 490,777
  4. Step 4: Simplify right side
    227,858x = 240,862,063,729
  5. Step 5: Solve for x
    x = 240,862,063,729/227,858
  6. Step 6: Final answer
    x = 1,057,070.91

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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.