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Finding the Third Proportional to 277,590 and 597,276

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Solution

The third proportional to 277,590 and 597,276 is: 1,285,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,590 : 597,276 = 597,276 : x
  2. Step 2: Convert to fraction form
    277,590/597,276 = 597,276/x
  3. Step 3: Cross multiply
    277,590x = 597,276 × 597,276
  4. Step 4: Simplify right side
    277,590x = 356,738,620,176
  5. Step 5: Solve for x
    x = 356,738,620,176/277,590
  6. Step 6: Final answer
    x = 1,285,127.78

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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.