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Finding the Third Proportional to 281,760 and 412,524.75

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Solution

The third proportional to 281,760 and 412,524.75 is: 603,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760 : 412,524.75 = 412,524.75 : x
  2. Step 2: Convert to fraction form
    281,760/412,524.75 = 412,524.75/x
  3. Step 3: Cross multiply
    281,760x = 412,524.75 × 412,524.75
  4. Step 4: Simplify right side
    281,760x = 170,176,669,362.56
  5. Step 5: Solve for x
    x = 170,176,669,362.56/281,760
  6. Step 6: Final answer
    x = 603,977.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.