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Finding the Third Proportional to 277,558.50 and 576,933

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Solution

The third proportional to 277,558.50 and 576,933 is: 1,199,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,558.50 : 576,933 = 576,933 : x
  2. Step 2: Convert to fraction form
    277,558.50/576,933 = 576,933/x
  3. Step 3: Cross multiply
    277,558.50x = 576,933 × 576,933
  4. Step 4: Simplify right side
    277,558.50x = 332,851,686,489
  5. Step 5: Solve for x
    x = 332,851,686,489/277,558.50
  6. Step 6: Final answer
    x = 1,199,212.73

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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.