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Finding the Third Proportional to 272,812.97 and 412,993.59

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Solution

The third proportional to 272,812.97 and 412,993.59 is: 625,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,812.97 : 412,993.59 = 412,993.59 : x
  2. Step 2: Convert to fraction form
    272,812.97/412,993.59 = 412,993.59/x
  3. Step 3: Cross multiply
    272,812.97x = 412,993.59 × 412,993.59
  4. Step 4: Simplify right side
    272,812.97x = 170,563,708,478.54
  5. Step 5: Solve for x
    x = 170,563,708,478.54/272,812.97
  6. Step 6: Final answer
    x = 625,203.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.