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Finding the Third Proportional to 283,049 and 454,509

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Solution

The third proportional to 283,049 and 454,509 is: 729,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049 : 454,509 = 454,509 : x
  2. Step 2: Convert to fraction form
    283,049/454,509 = 454,509/x
  3. Step 3: Cross multiply
    283,049x = 454,509 × 454,509
  4. Step 4: Simplify right side
    283,049x = 206,578,431,081
  5. Step 5: Solve for x
    x = 206,578,431,081/283,049
  6. Step 6: Final answer
    x = 729,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.