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Finding the Third Proportional to 273,109 and 559,337

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Solution

The third proportional to 273,109 and 559,337 is: 1,145,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,109 : 559,337 = 559,337 : x
  2. Step 2: Convert to fraction form
    273,109/559,337 = 559,337/x
  3. Step 3: Cross multiply
    273,109x = 559,337 × 559,337
  4. Step 4: Simplify right side
    273,109x = 312,857,879,569
  5. Step 5: Solve for x
    x = 312,857,879,569/273,109
  6. Step 6: Final answer
    x = 1,145,542.18

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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.