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Finding the Third Proportional to 277,538 and 606,436

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Solution

The third proportional to 277,538 and 606,436 is: 1,325,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,538 : 606,436 = 606,436 : x
  2. Step 2: Convert to fraction form
    277,538/606,436 = 606,436/x
  3. Step 3: Cross multiply
    277,538x = 606,436 × 606,436
  4. Step 4: Simplify right side
    277,538x = 367,764,622,096
  5. Step 5: Solve for x
    x = 367,764,622,096/277,538
  6. Step 6: Final answer
    x = 1,325,096.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.