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Finding the Third Proportional to 355,115 and 762,933.50

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Solution

The third proportional to 355,115 and 762,933.50 is: 1,639,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,115 : 762,933.50 = 762,933.50 : x
  2. Step 2: Convert to fraction form
    355,115/762,933.50 = 762,933.50/x
  3. Step 3: Cross multiply
    355,115x = 762,933.50 × 762,933.50
  4. Step 4: Simplify right side
    355,115x = 582,067,525,422.25
  5. Step 5: Solve for x
    x = 582,067,525,422.25/355,115
  6. Step 6: Final answer
    x = 1,639,095.86

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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.