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Finding the Third Proportional to 254,193 and 553,596.75

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Solution

The third proportional to 254,193 and 553,596.75 is: 1,205,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,193 : 553,596.75 = 553,596.75 : x
  2. Step 2: Convert to fraction form
    254,193/553,596.75 = 553,596.75/x
  3. Step 3: Cross multiply
    254,193x = 553,596.75 × 553,596.75
  4. Step 4: Simplify right side
    254,193x = 306,469,361,610.56
  5. Step 5: Solve for x
    x = 306,469,361,610.56/254,193
  6. Step 6: Final answer
    x = 1,205,656.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.