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Finding the Third Proportional to 252,539.25 and 554,893.50

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Solution

The third proportional to 252,539.25 and 554,893.50 is: 1,219,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,539.25 : 554,893.50 = 554,893.50 : x
  2. Step 2: Convert to fraction form
    252,539.25/554,893.50 = 554,893.50/x
  3. Step 3: Cross multiply
    252,539.25x = 554,893.50 × 554,893.50
  4. Step 4: Simplify right side
    252,539.25x = 307,906,796,342.25
  5. Step 5: Solve for x
    x = 307,906,796,342.25/252,539.25
  6. Step 6: Final answer
    x = 1,219,243.33

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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.