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Finding the Third Proportional to 273,057 and 427,406

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Solution

The third proportional to 273,057 and 427,406 is: 669,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,057 : 427,406 = 427,406 : x
  2. Step 2: Convert to fraction form
    273,057/427,406 = 427,406/x
  3. Step 3: Cross multiply
    273,057x = 427,406 × 427,406
  4. Step 4: Simplify right side
    273,057x = 182,675,888,836
  5. Step 5: Solve for x
    x = 182,675,888,836/273,057
  6. Step 6: Final answer
    x = 669,002.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.