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Finding the Third Proportional to 229,149 and 496,530

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Solution

The third proportional to 229,149 and 496,530 is: 1,075,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,149 : 496,530 = 496,530 : x
  2. Step 2: Convert to fraction form
    229,149/496,530 = 496,530/x
  3. Step 3: Cross multiply
    229,149x = 496,530 × 496,530
  4. Step 4: Simplify right side
    229,149x = 246,542,040,900
  5. Step 5: Solve for x
    x = 246,542,040,900/229,149
  6. Step 6: Final answer
    x = 1,075,902.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.