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Finding the Third Proportional to 230,791 and 520,845

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Solution

The third proportional to 230,791 and 520,845 is: 1,175,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,791 : 520,845 = 520,845 : x
  2. Step 2: Convert to fraction form
    230,791/520,845 = 520,845/x
  3. Step 3: Cross multiply
    230,791x = 520,845 × 520,845
  4. Step 4: Simplify right side
    230,791x = 271,279,514,025
  5. Step 5: Solve for x
    x = 271,279,514,025/230,791
  6. Step 6: Final answer
    x = 1,175,433.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.