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Finding the Third Proportional to 193,563 and 416,788.50

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Solution

The third proportional to 193,563 and 416,788.50 is: 897,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,563 : 416,788.50 = 416,788.50 : x
  2. Step 2: Convert to fraction form
    193,563/416,788.50 = 416,788.50/x
  3. Step 3: Cross multiply
    193,563x = 416,788.50 × 416,788.50
  4. Step 4: Simplify right side
    193,563x = 173,712,653,732.25
  5. Step 5: Solve for x
    x = 173,712,653,732.25/193,563
  6. Step 6: Final answer
    x = 897,447.62

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