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Finding the Third Proportional to 211,458.25 and 464,975.25

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Solution

The third proportional to 211,458.25 and 464,975.25 is: 1,022,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458.25 : 464,975.25 = 464,975.25 : x
  2. Step 2: Convert to fraction form
    211,458.25/464,975.25 = 464,975.25/x
  3. Step 3: Cross multiply
    211,458.25x = 464,975.25 × 464,975.25
  4. Step 4: Simplify right side
    211,458.25x = 216,201,983,112.56
  5. Step 5: Solve for x
    x = 216,201,983,112.56/211,458.25
  6. Step 6: Final answer
    x = 1,022,433.43

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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.