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Finding the Third Proportional to 263,130 and 576,234

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Solution

The third proportional to 263,130 and 576,234 is: 1,261,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,130 : 576,234 = 576,234 : x
  2. Step 2: Convert to fraction form
    263,130/576,234 = 576,234/x
  3. Step 3: Cross multiply
    263,130x = 576,234 × 576,234
  4. Step 4: Simplify right side
    263,130x = 332,045,622,756
  5. Step 5: Solve for x
    x = 332,045,622,756/263,130
  6. Step 6: Final answer
    x = 1,261,907.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.