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Finding the Third Proportional to 197,084 and 433,530

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Solution

The third proportional to 197,084 and 433,530 is: 953,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,084 : 433,530 = 433,530 : x
  2. Step 2: Convert to fraction form
    197,084/433,530 = 433,530/x
  3. Step 3: Cross multiply
    197,084x = 433,530 × 433,530
  4. Step 4: Simplify right side
    197,084x = 187,948,260,900
  5. Step 5: Solve for x
    x = 187,948,260,900/197,084
  6. Step 6: Final answer
    x = 953,645.46

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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.