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Finding the Third Proportional to 505,157.50 and 1,105,449.50

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Solution

The third proportional to 505,157.50 and 1,105,449.50 is: 2,419,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,157.50 : 1,105,449.50 = 1,105,449.50 : x
  2. Step 2: Convert to fraction form
    505,157.50/1,105,449.50 = 1,105,449.50/x
  3. Step 3: Cross multiply
    505,157.50x = 1,105,449.50 × 1,105,449.50
  4. Step 4: Simplify right side
    505,157.50x = 1,222,018,597,050.25
  5. Step 5: Solve for x
    x = 1,222,018,597,050.25/505,157.50
  6. Step 6: Final answer
    x = 2,419,084.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.