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Finding the Third Proportional to 257,592.75 and 559,541.25

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Solution

The third proportional to 257,592.75 and 559,541.25 is: 1,215,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,592.75 : 559,541.25 = 559,541.25 : x
  2. Step 2: Convert to fraction form
    257,592.75/559,541.25 = 559,541.25/x
  3. Step 3: Cross multiply
    257,592.75x = 559,541.25 × 559,541.25
  4. Step 4: Simplify right side
    257,592.75x = 313,086,410,451.56
  5. Step 5: Solve for x
    x = 313,086,410,451.56/257,592.75
  6. Step 6: Final answer
    x = 1,215,431.76

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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.