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Finding the Third Proportional to 263,320.50 and 576,645

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Solution

The third proportional to 263,320.50 and 576,645 is: 1,262,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320.50 : 576,645 = 576,645 : x
  2. Step 2: Convert to fraction form
    263,320.50/576,645 = 576,645/x
  3. Step 3: Cross multiply
    263,320.50x = 576,645 × 576,645
  4. Step 4: Simplify right side
    263,320.50x = 332,519,456,025
  5. Step 5: Solve for x
    x = 332,519,456,025/263,320.50
  6. Step 6: Final answer
    x = 1,262,793.65

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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.