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Finding the Third Proportional to 212,022.56 and 461,441.81

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Solution

The third proportional to 212,022.56 and 461,441.81 is: 1,004,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,022.56 : 461,441.81 = 461,441.81 : x
  2. Step 2: Convert to fraction form
    212,022.56/461,441.81 = 461,441.81/x
  3. Step 3: Cross multiply
    212,022.56x = 461,441.81 × 461,441.81
  4. Step 4: Simplify right side
    212,022.56x = 212,928,546,323.29
  5. Step 5: Solve for x
    x = 212,928,546,323.29/212,022.56
  6. Step 6: Final answer
    x = 1,004,273.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.