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Finding the Third Proportional to 269,082 and 428,247

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Solution

The third proportional to 269,082 and 428,247 is: 681,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082 : 428,247 = 428,247 : x
  2. Step 2: Convert to fraction form
    269,082/428,247 = 428,247/x
  3. Step 3: Cross multiply
    269,082x = 428,247 × 428,247
  4. Step 4: Simplify right side
    269,082x = 183,395,493,009
  5. Step 5: Solve for x
    x = 183,395,493,009/269,082
  6. Step 6: Final answer
    x = 681,559.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.