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Finding the Third Proportional to 277,576 and 597,252

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Solution

The third proportional to 277,576 and 597,252 is: 1,285,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,576 : 597,252 = 597,252 : x
  2. Step 2: Convert to fraction form
    277,576/597,252 = 597,252/x
  3. Step 3: Cross multiply
    277,576x = 597,252 × 597,252
  4. Step 4: Simplify right side
    277,576x = 356,709,951,504
  5. Step 5: Solve for x
    x = 356,709,951,504/277,576
  6. Step 6: Final answer
    x = 1,285,089.31

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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.