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Finding the Third Proportional to 203,965 and 435,956

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Solution

The third proportional to 203,965 and 435,956 is: 931,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,965 : 435,956 = 435,956 : x
  2. Step 2: Convert to fraction form
    203,965/435,956 = 435,956/x
  3. Step 3: Cross multiply
    203,965x = 435,956 × 435,956
  4. Step 4: Simplify right side
    203,965x = 190,057,633,936
  5. Step 5: Solve for x
    x = 190,057,633,936/203,965
  6. Step 6: Final answer
    x = 931,814.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.