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Finding the Third Proportional to 277,596 and 597,288

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Solution

The third proportional to 277,596 and 597,288 is: 1,285,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596 : 597,288 = 597,288 : x
  2. Step 2: Convert to fraction form
    277,596/597,288 = 597,288/x
  3. Step 3: Cross multiply
    277,596x = 597,288 × 597,288
  4. Step 4: Simplify right side
    277,596x = 356,752,954,944
  5. Step 5: Solve for x
    x = 356,752,954,944/277,596
  6. Step 6: Final answer
    x = 1,285,151.64

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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.