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Finding the Third Proportional to 277,380 and 567,900

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Solution

The third proportional to 277,380 and 567,900 is: 1,162,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,380 : 567,900 = 567,900 : x
  2. Step 2: Convert to fraction form
    277,380/567,900 = 567,900/x
  3. Step 3: Cross multiply
    277,380x = 567,900 × 567,900
  4. Step 4: Simplify right side
    277,380x = 322,510,410,000
  5. Step 5: Solve for x
    x = 322,510,410,000/277,380
  6. Step 6: Final answer
    x = 1,162,702.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.