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Finding the Third Proportional to 277,137 and 595,710

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Solution

The third proportional to 277,137 and 595,710 is: 1,280,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137 : 595,710 = 595,710 : x
  2. Step 2: Convert to fraction form
    277,137/595,710 = 595,710/x
  3. Step 3: Cross multiply
    277,137x = 595,710 × 595,710
  4. Step 4: Simplify right side
    277,137x = 354,870,404,100
  5. Step 5: Solve for x
    x = 354,870,404,100/277,137
  6. Step 6: Final answer
    x = 1,280,487.28

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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.