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Finding the Third Proportional to 226,321.88 and 491,567.63

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Solution

The third proportional to 226,321.88 and 491,567.63 is: 1,067,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,321.88 : 491,567.63 = 491,567.63 : x
  2. Step 2: Convert to fraction form
    226,321.88/491,567.63 = 491,567.63/x
  3. Step 3: Cross multiply
    226,321.88x = 491,567.63 × 491,567.63
  4. Step 4: Simplify right side
    226,321.88x = 241,638,729,948.14
  5. Step 5: Solve for x
    x = 241,638,729,948.14/226,321.88
  6. Step 6: Final answer
    x = 1,067,677.31

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