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Finding the Third Proportional to 225,807.75 and 486,865.27

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Solution

The third proportional to 225,807.75 and 486,865.27 is: 1,049,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,807.75 : 486,865.27 = 486,865.27 : x
  2. Step 2: Convert to fraction form
    225,807.75/486,865.27 = 486,865.27/x
  3. Step 3: Cross multiply
    225,807.75x = 486,865.27 × 486,865.27
  4. Step 4: Simplify right side
    225,807.75x = 237,037,786,872.10
  5. Step 5: Solve for x
    x = 237,037,786,872.10/225,807.75
  6. Step 6: Final answer
    x = 1,049,732.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.