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Finding the Third Proportional to 193,558 and 416,779

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Solution

The third proportional to 193,558 and 416,779 is: 897,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,558 : 416,779 = 416,779 : x
  2. Step 2: Convert to fraction form
    193,558/416,779 = 416,779/x
  3. Step 3: Cross multiply
    193,558x = 416,779 × 416,779
  4. Step 4: Simplify right side
    193,558x = 173,704,734,841
  5. Step 5: Solve for x
    x = 173,704,734,841/193,558
  6. Step 6: Final answer
    x = 897,429.89

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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.