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Finding the Third Proportional to 273,084.75 and 417,942.56

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Solution

The third proportional to 273,084.75 and 417,942.56 is: 639,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,084.75 : 417,942.56 = 417,942.56 : x
  2. Step 2: Convert to fraction form
    273,084.75/417,942.56 = 417,942.56/x
  3. Step 3: Cross multiply
    273,084.75x = 417,942.56 × 417,942.56
  4. Step 4: Simplify right side
    273,084.75x = 174,675,985,549.07
  5. Step 5: Solve for x
    x = 174,675,985,549.07/273,084.75
  6. Step 6: Final answer
    x = 639,640.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.