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Finding the Third Proportional to 263,128 and 576,333

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Solution

The third proportional to 263,128 and 576,333 is: 1,262,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,128 : 576,333 = 576,333 : x
  2. Step 2: Convert to fraction form
    263,128/576,333 = 576,333/x
  3. Step 3: Cross multiply
    263,128x = 576,333 × 576,333
  4. Step 4: Simplify right side
    263,128x = 332,159,726,889
  5. Step 5: Solve for x
    x = 332,159,726,889/263,128
  6. Step 6: Final answer
    x = 1,262,350.37

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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.