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Finding the Third Proportional to 272,099.25 and 591,424.03

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Solution

The third proportional to 272,099.25 and 591,424.03 is: 1,285,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,099.25 : 591,424.03 = 591,424.03 : x
  2. Step 2: Convert to fraction form
    272,099.25/591,424.03 = 591,424.03/x
  3. Step 3: Cross multiply
    272,099.25x = 591,424.03 × 591,424.03
  4. Step 4: Simplify right side
    272,099.25x = 349,782,384,740.00
  5. Step 5: Solve for x
    x = 349,782,384,740.00/272,099.25
  6. Step 6: Final answer
    x = 1,285,495.59

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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.