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Finding the Third Proportional to 193,567 and 416,797

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Solution

The third proportional to 193,567 and 416,797 is: 897,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,567 : 416,797 = 416,797 : x
  2. Step 2: Convert to fraction form
    193,567/416,797 = 416,797/x
  3. Step 3: Cross multiply
    193,567x = 416,797 × 416,797
  4. Step 4: Simplify right side
    193,567x = 173,719,739,209
  5. Step 5: Solve for x
    x = 173,719,739,209/193,567
  6. Step 6: Final answer
    x = 897,465.68

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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.