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Finding the Third Proportional to 212,321.25 and 462,003.75

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Solution

The third proportional to 212,321.25 and 462,003.75 is: 1,005,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,321.25 : 462,003.75 = 462,003.75 : x
  2. Step 2: Convert to fraction form
    212,321.25/462,003.75 = 462,003.75/x
  3. Step 3: Cross multiply
    212,321.25x = 462,003.75 × 462,003.75
  4. Step 4: Simplify right side
    212,321.25x = 213,447,465,014.06
  5. Step 5: Solve for x
    x = 213,447,465,014.06/212,321.25
  6. Step 6: Final answer
    x = 1,005,304.30

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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.