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Finding the Third Proportional to 277,578 and 597,255

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Solution

The third proportional to 277,578 and 597,255 is: 1,285,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,578 : 597,255 = 597,255 : x
  2. Step 2: Convert to fraction form
    277,578/597,255 = 597,255/x
  3. Step 3: Cross multiply
    277,578x = 597,255 × 597,255
  4. Step 4: Simplify right side
    277,578x = 356,713,535,025
  5. Step 5: Solve for x
    x = 356,713,535,025/277,578
  6. Step 6: Final answer
    x = 1,285,092.96

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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.