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Finding the Third Proportional to 199,530 and 433,971

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Solution

The third proportional to 199,530 and 433,971 is: 943,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530 : 433,971 = 433,971 : x
  2. Step 2: Convert to fraction form
    199,530/433,971 = 433,971/x
  3. Step 3: Cross multiply
    199,530x = 433,971 × 433,971
  4. Step 4: Simplify right side
    199,530x = 188,330,828,841
  5. Step 5: Solve for x
    x = 188,330,828,841/199,530
  6. Step 6: Final answer
    x = 943,872.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.