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Finding the Third Proportional to 257,517.14 and 559,365.75

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Solution

The third proportional to 257,517.14 and 559,365.75 is: 1,215,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517.14 : 559,365.75 = 559,365.75 : x
  2. Step 2: Convert to fraction form
    257,517.14/559,365.75 = 559,365.75/x
  3. Step 3: Cross multiply
    257,517.14x = 559,365.75 × 559,365.75
  4. Step 4: Simplify right side
    257,517.14x = 312,890,042,273.06
  5. Step 5: Solve for x
    x = 312,890,042,273.06/257,517.14
  6. Step 6: Final answer
    x = 1,215,026.08

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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.