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Finding the Third Proportional to 498,804.75 and 1,033,080.75

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Solution

The third proportional to 498,804.75 and 1,033,080.75 is: 2,139,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,804.75 : 1,033,080.75 = 1,033,080.75 : x
  2. Step 2: Convert to fraction form
    498,804.75/1,033,080.75 = 1,033,080.75/x
  3. Step 3: Cross multiply
    498,804.75x = 1,033,080.75 × 1,033,080.75
  4. Step 4: Simplify right side
    498,804.75x = 1,067,255,836,020.56
  5. Step 5: Solve for x
    x = 1,067,255,836,020.56/498,804.75
  6. Step 6: Final answer
    x = 2,139,626.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.