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Finding the Third Proportional to 193,569 and 416,802

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Solution

The third proportional to 193,569 and 416,802 is: 897,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,569 : 416,802 = 416,802 : x
  2. Step 2: Convert to fraction form
    193,569/416,802 = 416,802/x
  3. Step 3: Cross multiply
    193,569x = 416,802 × 416,802
  4. Step 4: Simplify right side
    193,569x = 173,723,907,204
  5. Step 5: Solve for x
    x = 173,723,907,204/193,569
  6. Step 6: Final answer
    x = 897,477.94

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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.