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Finding the Third Proportional to 193,565 and 416,793

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Solution

The third proportional to 193,565 and 416,793 is: 897,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,565 : 416,793 = 416,793 : x
  2. Step 2: Convert to fraction form
    193,565/416,793 = 416,793/x
  3. Step 3: Cross multiply
    193,565x = 416,793 × 416,793
  4. Step 4: Simplify right side
    193,565x = 173,716,404,849
  5. Step 5: Solve for x
    x = 173,716,404,849/193,565
  6. Step 6: Final answer
    x = 897,457.73

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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.