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Finding the Third Proportional to 197,450 and 424,084

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Solution

The third proportional to 197,450 and 424,084 is: 910,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,450 : 424,084 = 424,084 : x
  2. Step 2: Convert to fraction form
    197,450/424,084 = 424,084/x
  3. Step 3: Cross multiply
    197,450x = 424,084 × 424,084
  4. Step 4: Simplify right side
    197,450x = 179,847,239,056
  5. Step 5: Solve for x
    x = 179,847,239,056/197,450
  6. Step 6: Final answer
    x = 910,849.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.