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Finding the Third Proportional to 492,709.50 and 1,061,324.44

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Solution

The third proportional to 492,709.50 and 1,061,324.44 is: 2,286,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709.50 : 1,061,324.44 = 1,061,324.44 : x
  2. Step 2: Convert to fraction form
    492,709.50/1,061,324.44 = 1,061,324.44/x
  3. Step 3: Cross multiply
    492,709.50x = 1,061,324.44 × 1,061,324.44
  4. Step 4: Simplify right side
    492,709.50x = 1,126,409,561,634.69
  5. Step 5: Solve for x
    x = 1,126,409,561,634.69/492,709.50
  6. Step 6: Final answer
    x = 2,286,153.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.