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Finding the Third Proportional to 223,494 and 469,956

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Solution

The third proportional to 223,494 and 469,956 is: 988,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,494 : 469,956 = 469,956 : x
  2. Step 2: Convert to fraction form
    223,494/469,956 = 469,956/x
  3. Step 3: Cross multiply
    223,494x = 469,956 × 469,956
  4. Step 4: Simplify right side
    223,494x = 220,858,641,936
  5. Step 5: Solve for x
    x = 220,858,641,936/223,494
  6. Step 6: Final answer
    x = 988,208.37

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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.