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Finding the Third Proportional to 277,082 and 596,907

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Solution

The third proportional to 277,082 and 596,907 is: 1,285,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,082 : 596,907 = 596,907 : x
  2. Step 2: Convert to fraction form
    277,082/596,907 = 596,907/x
  3. Step 3: Cross multiply
    277,082x = 596,907 × 596,907
  4. Step 4: Simplify right side
    277,082x = 356,297,966,649
  5. Step 5: Solve for x
    x = 356,297,966,649/277,082
  6. Step 6: Final answer
    x = 1,285,893.59

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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.