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Finding the Third Proportional to 257,424.75 and 559,137.75

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Solution

The third proportional to 257,424.75 and 559,137.75 is: 1,214,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424.75 : 559,137.75 = 559,137.75 : x
  2. Step 2: Convert to fraction form
    257,424.75/559,137.75 = 559,137.75/x
  3. Step 3: Cross multiply
    257,424.75x = 559,137.75 × 559,137.75
  4. Step 4: Simplify right side
    257,424.75x = 312,635,023,475.06
  5. Step 5: Solve for x
    x = 312,635,023,475.06/257,424.75
  6. Step 6: Final answer
    x = 1,214,471.50

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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.