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Finding the Third Proportional to 197,059 and 433,485

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Solution

The third proportional to 197,059 and 433,485 is: 953,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,059 : 433,485 = 433,485 : x
  2. Step 2: Convert to fraction form
    197,059/433,485 = 433,485/x
  3. Step 3: Cross multiply
    197,059x = 433,485 × 433,485
  4. Step 4: Simplify right side
    197,059x = 187,909,245,225
  5. Step 5: Solve for x
    x = 187,909,245,225/197,059
  6. Step 6: Final answer
    x = 953,568.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.