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Finding the Third Proportional to 263,091 and 576,159

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Solution

The third proportional to 263,091 and 576,159 is: 1,261,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,091 : 576,159 = 576,159 : x
  2. Step 2: Convert to fraction form
    263,091/576,159 = 576,159/x
  3. Step 3: Cross multiply
    263,091x = 576,159 × 576,159
  4. Step 4: Simplify right side
    263,091x = 331,959,193,281
  5. Step 5: Solve for x
    x = 331,959,193,281/263,091
  6. Step 6: Final answer
    x = 1,261,765.68

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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.