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Finding the Third Proportional to 263,323.50 and 576,651

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Solution

The third proportional to 263,323.50 and 576,651 is: 1,262,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,323.50 : 576,651 = 576,651 : x
  2. Step 2: Convert to fraction form
    263,323.50/576,651 = 576,651/x
  3. Step 3: Cross multiply
    263,323.50x = 576,651 × 576,651
  4. Step 4: Simplify right side
    263,323.50x = 332,526,375,801
  5. Step 5: Solve for x
    x = 332,526,375,801/263,323.50
  6. Step 6: Final answer
    x = 1,262,805.54

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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.