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Finding the Third Proportional to 228,536 and 468,208

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Solution

The third proportional to 228,536 and 468,208 is: 959,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,536 : 468,208 = 468,208 : x
  2. Step 2: Convert to fraction form
    228,536/468,208 = 468,208/x
  3. Step 3: Cross multiply
    228,536x = 468,208 × 468,208
  4. Step 4: Simplify right side
    228,536x = 219,218,731,264
  5. Step 5: Solve for x
    x = 219,218,731,264/228,536
  6. Step 6: Final answer
    x = 959,230.63

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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.