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Finding the Third Proportional to 277,105 and 595,649

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Solution

The third proportional to 277,105 and 595,649 is: 1,280,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,105 : 595,649 = 595,649 : x
  2. Step 2: Convert to fraction form
    277,105/595,649 = 595,649/x
  3. Step 3: Cross multiply
    277,105x = 595,649 × 595,649
  4. Step 4: Simplify right side
    277,105x = 354,797,731,201
  5. Step 5: Solve for x
    x = 354,797,731,201/277,105
  6. Step 6: Final answer
    x = 1,280,372.90

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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.