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Finding the Third Proportional to 273,104 and 559,327

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Solution

The third proportional to 273,104 and 559,327 is: 1,145,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,104 : 559,327 = 559,327 : x
  2. Step 2: Convert to fraction form
    273,104/559,327 = 559,327/x
  3. Step 3: Cross multiply
    273,104x = 559,327 × 559,327
  4. Step 4: Simplify right side
    273,104x = 312,846,692,929
  5. Step 5: Solve for x
    x = 312,846,692,929/273,104
  6. Step 6: Final answer
    x = 1,145,522.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.