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Finding the Third Proportional to 277,124 and 597,488

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Solution

The third proportional to 277,124 and 597,488 is: 1,288,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,124 : 597,488 = 597,488 : x
  2. Step 2: Convert to fraction form
    277,124/597,488 = 597,488/x
  3. Step 3: Cross multiply
    277,124x = 597,488 × 597,488
  4. Step 4: Simplify right side
    277,124x = 356,991,910,144
  5. Step 5: Solve for x
    x = 356,991,910,144/277,124
  6. Step 6: Final answer
    x = 1,288,202.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.