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Finding the Third Proportional to 277,108 and 596,948

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Solution

The third proportional to 277,108 and 596,948 is: 1,285,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,108 : 596,948 = 596,948 : x
  2. Step 2: Convert to fraction form
    277,108/596,948 = 596,948/x
  3. Step 3: Cross multiply
    277,108x = 596,948 × 596,948
  4. Step 4: Simplify right side
    277,108x = 356,346,914,704
  5. Step 5: Solve for x
    x = 356,346,914,704/277,108
  6. Step 6: Final answer
    x = 1,285,949.57

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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.