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Finding the Third Proportional to 263,169 and 556,227

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Solution

The third proportional to 263,169 and 556,227 is: 1,175,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,169 : 556,227 = 556,227 : x
  2. Step 2: Convert to fraction form
    263,169/556,227 = 556,227/x
  3. Step 3: Cross multiply
    263,169x = 556,227 × 556,227
  4. Step 4: Simplify right side
    263,169x = 309,388,475,529
  5. Step 5: Solve for x
    x = 309,388,475,529/263,169
  6. Step 6: Final answer
    x = 1,175,626.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.