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Finding the Third Proportional to 263,152 and 576,384

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Solution

The third proportional to 263,152 and 576,384 is: 1,262,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,152 : 576,384 = 576,384 : x
  2. Step 2: Convert to fraction form
    263,152/576,384 = 576,384/x
  3. Step 3: Cross multiply
    263,152x = 576,384 × 576,384
  4. Step 4: Simplify right side
    263,152x = 332,218,515,456
  5. Step 5: Solve for x
    x = 332,218,515,456/263,152
  6. Step 6: Final answer
    x = 1,262,458.64

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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.