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Finding the Third Proportional to 263,319 and 576,642

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Solution

The third proportional to 263,319 and 576,642 is: 1,262,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,319 : 576,642 = 576,642 : x
  2. Step 2: Convert to fraction form
    263,319/576,642 = 576,642/x
  3. Step 3: Cross multiply
    263,319x = 576,642 × 576,642
  4. Step 4: Simplify right side
    263,319x = 332,515,996,164
  5. Step 5: Solve for x
    x = 332,515,996,164/263,319
  6. Step 6: Final answer
    x = 1,262,787.71

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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.