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Finding the Third Proportional to 227,200.50 and 477,904

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Solution

The third proportional to 227,200.50 and 477,904 is: 1,005,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200.50 : 477,904 = 477,904 : x
  2. Step 2: Convert to fraction form
    227,200.50/477,904 = 477,904/x
  3. Step 3: Cross multiply
    227,200.50x = 477,904 × 477,904
  4. Step 4: Simplify right side
    227,200.50x = 228,392,233,216
  5. Step 5: Solve for x
    x = 228,392,233,216/227,200.50
  6. Step 6: Final answer
    x = 1,005,245.29

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