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Finding the Third Proportional to 257,497.31 and 559,324.41

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Solution

The third proportional to 257,497.31 and 559,324.41 is: 1,214,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,497.31 : 559,324.41 = 559,324.41 : x
  2. Step 2: Convert to fraction form
    257,497.31/559,324.41 = 559,324.41/x
  3. Step 3: Cross multiply
    257,497.31x = 559,324.41 × 559,324.41
  4. Step 4: Simplify right side
    257,497.31x = 312,843,791,426.92
  5. Step 5: Solve for x
    x = 312,843,791,426.92/257,497.31
  6. Step 6: Final answer
    x = 1,214,940.03

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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.