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Finding the Third Proportional to 258,499.31 and 568,025.63

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Solution

The third proportional to 258,499.31 and 568,025.63 is: 1,248,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,499.31 : 568,025.63 = 568,025.63 : x
  2. Step 2: Convert to fraction form
    258,499.31/568,025.63 = 568,025.63/x
  3. Step 3: Cross multiply
    258,499.31x = 568,025.63 × 568,025.63
  4. Step 4: Simplify right side
    258,499.31x = 322,653,110,656.64
  5. Step 5: Solve for x
    x = 322,653,110,656.64/258,499.31
  6. Step 6: Final answer
    x = 1,248,177.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.