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Finding the Third Proportional to 227,169.56 and 477,879.75

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Solution

The third proportional to 227,169.56 and 477,879.75 is: 1,005,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,169.56 : 477,879.75 = 477,879.75 : x
  2. Step 2: Convert to fraction form
    227,169.56/477,879.75 = 477,879.75/x
  3. Step 3: Cross multiply
    227,169.56x = 477,879.75 × 477,879.75
  4. Step 4: Simplify right side
    227,169.56x = 228,369,055,460.06
  5. Step 5: Solve for x
    x = 228,369,055,460.06/227,169.56
  6. Step 6: Final answer
    x = 1,005,280.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.