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Finding the Third Proportional to 263,090 and 576,157

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Solution

The third proportional to 263,090 and 576,157 is: 1,261,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,090 : 576,157 = 576,157 : x
  2. Step 2: Convert to fraction form
    263,090/576,157 = 576,157/x
  3. Step 3: Cross multiply
    263,090x = 576,157 × 576,157
  4. Step 4: Simplify right side
    263,090x = 331,956,888,649
  5. Step 5: Solve for x
    x = 331,956,888,649/263,090
  6. Step 6: Final answer
    x = 1,261,761.71

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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.