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Finding the Third Proportional to 277,560 and 576,936

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Solution

The third proportional to 277,560 and 576,936 is: 1,199,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,560 : 576,936 = 576,936 : x
  2. Step 2: Convert to fraction form
    277,560/576,936 = 576,936/x
  3. Step 3: Cross multiply
    277,560x = 576,936 × 576,936
  4. Step 4: Simplify right side
    277,560x = 332,855,148,096
  5. Step 5: Solve for x
    x = 332,855,148,096/277,560
  6. Step 6: Final answer
    x = 1,199,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.