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Finding the Third Proportional to 263,954 and 376,086

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Solution

The third proportional to 263,954 and 376,086 is: 535,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,954 : 376,086 = 376,086 : x
  2. Step 2: Convert to fraction form
    263,954/376,086 = 376,086/x
  3. Step 3: Cross multiply
    263,954x = 376,086 × 376,086
  4. Step 4: Simplify right side
    263,954x = 141,440,679,396
  5. Step 5: Solve for x
    x = 141,440,679,396/263,954
  6. Step 6: Final answer
    x = 535,853.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.