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Finding the Third Proportional to 277,376 and 591,616

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Solution

The third proportional to 277,376 and 591,616 is: 1,261,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,376 : 591,616 = 591,616 : x
  2. Step 2: Convert to fraction form
    277,376/591,616 = 591,616/x
  3. Step 3: Cross multiply
    277,376x = 591,616 × 591,616
  4. Step 4: Simplify right side
    277,376x = 350,009,491,456
  5. Step 5: Solve for x
    x = 350,009,491,456/277,376
  6. Step 6: Final answer
    x = 1,261,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.