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Finding the Third Proportional to 277,611 and 376,201.50

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Solution

The third proportional to 277,611 and 376,201.50 is: 509,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,611 : 376,201.50 = 376,201.50 : x
  2. Step 2: Convert to fraction form
    277,611/376,201.50 = 376,201.50/x
  3. Step 3: Cross multiply
    277,611x = 376,201.50 × 376,201.50
  4. Step 4: Simplify right side
    277,611x = 141,527,568,602.25
  5. Step 5: Solve for x
    x = 141,527,568,602.25/277,611
  6. Step 6: Final answer
    x = 509,805.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.