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Finding the Third Proportional to 253,424.25 and 548,673.75

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Solution

The third proportional to 253,424.25 and 548,673.75 is: 1,187,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,424.25 : 548,673.75 = 548,673.75 : x
  2. Step 2: Convert to fraction form
    253,424.25/548,673.75 = 548,673.75/x
  3. Step 3: Cross multiply
    253,424.25x = 548,673.75 × 548,673.75
  4. Step 4: Simplify right side
    253,424.25x = 301,042,883,939.06
  5. Step 5: Solve for x
    x = 301,042,883,939.06/253,424.25
  6. Step 6: Final answer
    x = 1,187,900.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.