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Finding the Third Proportional to 228,550 and 468,236

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Solution

The third proportional to 228,550 and 468,236 is: 959,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,550 : 468,236 = 468,236 : x
  2. Step 2: Convert to fraction form
    228,550/468,236 = 468,236/x
  3. Step 3: Cross multiply
    228,550x = 468,236 × 468,236
  4. Step 4: Simplify right side
    228,550x = 219,244,951,696
  5. Step 5: Solve for x
    x = 219,244,951,696/228,550
  6. Step 6: Final answer
    x = 959,286.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.