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Finding the Third Proportional to 277,593 and 597,282

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Solution

The third proportional to 277,593 and 597,282 is: 1,285,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,593 : 597,282 = 597,282 : x
  2. Step 2: Convert to fraction form
    277,593/597,282 = 597,282/x
  3. Step 3: Cross multiply
    277,593x = 597,282 × 597,282
  4. Step 4: Simplify right side
    277,593x = 356,745,787,524
  5. Step 5: Solve for x
    x = 356,745,787,524/277,593
  6. Step 6: Final answer
    x = 1,285,139.71

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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.