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Finding the Third Proportional to 273,329 and 600,469

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Solution

The third proportional to 273,329 and 600,469 is: 1,319,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,329 : 600,469 = 600,469 : x
  2. Step 2: Convert to fraction form
    273,329/600,469 = 600,469/x
  3. Step 3: Cross multiply
    273,329x = 600,469 × 600,469
  4. Step 4: Simplify right side
    273,329x = 360,563,019,961
  5. Step 5: Solve for x
    x = 360,563,019,961/273,329
  6. Step 6: Final answer
    x = 1,319,153.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.