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Finding the Third Proportional to 258,796.13 and 548,722.69

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Solution

The third proportional to 258,796.13 and 548,722.69 is: 1,163,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,796.13 : 548,722.69 = 548,722.69 : x
  2. Step 2: Convert to fraction form
    258,796.13/548,722.69 = 548,722.69/x
  3. Step 3: Cross multiply
    258,796.13x = 548,722.69 × 548,722.69
  4. Step 4: Simplify right side
    258,796.13x = 301,096,587,777.22
  5. Step 5: Solve for x
    x = 301,096,587,777.22/258,796.13
  6. Step 6: Final answer
    x = 1,163,450.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.