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Finding the Third Proportional to 498,873.75 and 1,094,318.75

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Solution

The third proportional to 498,873.75 and 1,094,318.75 is: 2,400,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,873.75 : 1,094,318.75 = 1,094,318.75 : x
  2. Step 2: Convert to fraction form
    498,873.75/1,094,318.75 = 1,094,318.75/x
  3. Step 3: Cross multiply
    498,873.75x = 1,094,318.75 × 1,094,318.75
  4. Step 4: Simplify right side
    498,873.75x = 1,197,533,526,601.56
  5. Step 5: Solve for x
    x = 1,197,533,526,601.56/498,873.75
  6. Step 6: Final answer
    x = 2,400,474.12

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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.