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Finding the Third Proportional to 268,953 and 365,463

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Solution

The third proportional to 268,953 and 365,463 is: 496,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,953 : 365,463 = 365,463 : x
  2. Step 2: Convert to fraction form
    268,953/365,463 = 365,463/x
  3. Step 3: Cross multiply
    268,953x = 365,463 × 365,463
  4. Step 4: Simplify right side
    268,953x = 133,563,204,369
  5. Step 5: Solve for x
    x = 133,563,204,369/268,953
  6. Step 6: Final answer
    x = 496,604.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.