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Finding the Third Proportional to 197,977 and 433,368

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Solution

The third proportional to 197,977 and 433,368 is: 948,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,977 : 433,368 = 433,368 : x
  2. Step 2: Convert to fraction form
    197,977/433,368 = 433,368/x
  3. Step 3: Cross multiply
    197,977x = 433,368 × 433,368
  4. Step 4: Simplify right side
    197,977x = 187,807,823,424
  5. Step 5: Solve for x
    x = 187,807,823,424/197,977
  6. Step 6: Final answer
    x = 948,634.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.