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Finding the Third Proportional to 454,288.50 and 682,530.75

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Solution

The third proportional to 454,288.50 and 682,530.75 is: 1,025,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,288.50 : 682,530.75 = 682,530.75 : x
  2. Step 2: Convert to fraction form
    454,288.50/682,530.75 = 682,530.75/x
  3. Step 3: Cross multiply
    454,288.50x = 682,530.75 × 682,530.75
  4. Step 4: Simplify right side
    454,288.50x = 465,848,224,695.56
  5. Step 5: Solve for x
    x = 465,848,224,695.56/454,288.50
  6. Step 6: Final answer
    x = 1,025,445.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.