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Finding the Third Proportional to 362,140.50 and 779,505

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Solution

The third proportional to 362,140.50 and 779,505 is: 1,677,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.50 : 779,505 = 779,505 : x
  2. Step 2: Convert to fraction form
    362,140.50/779,505 = 779,505/x
  3. Step 3: Cross multiply
    362,140.50x = 779,505 × 779,505
  4. Step 4: Simplify right side
    362,140.50x = 607,628,045,025
  5. Step 5: Solve for x
    x = 607,628,045,025/362,140.50
  6. Step 6: Final answer
    x = 1,677,879.29

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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.