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Finding the Third Proportional to 258,593.75 and 548,285.75

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Solution

The third proportional to 258,593.75 and 548,285.75 is: 1,162,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,593.75 : 548,285.75 = 548,285.75 : x
  2. Step 2: Convert to fraction form
    258,593.75/548,285.75 = 548,285.75/x
  3. Step 3: Cross multiply
    258,593.75x = 548,285.75 × 548,285.75
  4. Step 4: Simplify right side
    258,593.75x = 300,617,263,653.06
  5. Step 5: Solve for x
    x = 300,617,263,653.06/258,593.75
  6. Step 6: Final answer
    x = 1,162,507.85

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Why These Related Problems?

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