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Finding the Third Proportional to 273,201.75 and 413,493.75

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Solution

The third proportional to 273,201.75 and 413,493.75 is: 625,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,201.75 : 413,493.75 = 413,493.75 : x
  2. Step 2: Convert to fraction form
    273,201.75/413,493.75 = 413,493.75/x
  3. Step 3: Cross multiply
    273,201.75x = 413,493.75 × 413,493.75
  4. Step 4: Simplify right side
    273,201.75x = 170,977,081,289.06
  5. Step 5: Solve for x
    x = 170,977,081,289.06/273,201.75
  6. Step 6: Final answer
    x = 625,827.18

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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.