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Finding the Third Proportional to 231,633 and 505,912.50

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Solution

The third proportional to 231,633 and 505,912.50 is: 1,104,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,633 : 505,912.50 = 505,912.50 : x
  2. Step 2: Convert to fraction form
    231,633/505,912.50 = 505,912.50/x
  3. Step 3: Cross multiply
    231,633x = 505,912.50 × 505,912.50
  4. Step 4: Simplify right side
    231,633x = 255,947,457,656.25
  5. Step 5: Solve for x
    x = 255,947,457,656.25/231,633
  6. Step 6: Final answer
    x = 1,104,969.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.