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Finding the Third Proportional to 498,964.50 and 1,097,577

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Solution

The third proportional to 498,964.50 and 1,097,577 is: 2,414,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,964.50 : 1,097,577 = 1,097,577 : x
  2. Step 2: Convert to fraction form
    498,964.50/1,097,577 = 1,097,577/x
  3. Step 3: Cross multiply
    498,964.50x = 1,097,577 × 1,097,577
  4. Step 4: Simplify right side
    498,964.50x = 1,204,675,270,929
  5. Step 5: Solve for x
    x = 1,204,675,270,929/498,964.50
  6. Step 6: Final answer
    x = 2,414,350.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.