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Finding the Third Proportional to 245,536.31 and 542,694.94

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Solution

The third proportional to 245,536.31 and 542,694.94 is: 1,199,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,536.31 : 542,694.94 = 542,694.94 : x
  2. Step 2: Convert to fraction form
    245,536.31/542,694.94 = 542,694.94/x
  3. Step 3: Cross multiply
    245,536.31x = 542,694.94 × 542,694.94
  4. Step 4: Simplify right side
    245,536.31x = 294,517,795,188.13
  5. Step 5: Solve for x
    x = 294,517,795,188.13/245,536.31
  6. Step 6: Final answer
    x = 1,199,487.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.