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Finding the Third Proportional to 362,112.75 and 779,449.50

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Solution

The third proportional to 362,112.75 and 779,449.50 is: 1,677,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,112.75 : 779,449.50 = 779,449.50 : x
  2. Step 2: Convert to fraction form
    362,112.75/779,449.50 = 779,449.50/x
  3. Step 3: Cross multiply
    362,112.75x = 779,449.50 × 779,449.50
  4. Step 4: Simplify right side
    362,112.75x = 607,541,523,050.25
  5. Step 5: Solve for x
    x = 607,541,523,050.25/362,112.75
  6. Step 6: Final answer
    x = 1,677,768.94

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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.