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Finding the Third Proportional to 263,326 and 576,654

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Solution

The third proportional to 263,326 and 576,654 is: 1,262,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,326 : 576,654 = 576,654 : x
  2. Step 2: Convert to fraction form
    263,326/576,654 = 576,654/x
  3. Step 3: Cross multiply
    263,326x = 576,654 × 576,654
  4. Step 4: Simplify right side
    263,326x = 332,529,835,716
  5. Step 5: Solve for x
    x = 332,529,835,716/263,326
  6. Step 6: Final answer
    x = 1,262,806.69

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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.