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Finding the Third Proportional to 405,222.75 and 1,002,395.25

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Solution

The third proportional to 405,222.75 and 1,002,395.25 is: 2,479,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,222.75 : 1,002,395.25 = 1,002,395.25 : x
  2. Step 2: Convert to fraction form
    405,222.75/1,002,395.25 = 1,002,395.25/x
  3. Step 3: Cross multiply
    405,222.75x = 1,002,395.25 × 1,002,395.25
  4. Step 4: Simplify right side
    405,222.75x = 1,004,796,237,222.56
  5. Step 5: Solve for x
    x = 1,004,796,237,222.56/405,222.75
  6. Step 6: Final answer
    x = 2,479,614.58

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.