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Finding the Third Proportional to 308,393 and 449,463

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Solution

The third proportional to 308,393 and 449,463 is: 655,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,393 : 449,463 = 449,463 : x
  2. Step 2: Convert to fraction form
    308,393/449,463 = 449,463/x
  3. Step 3: Cross multiply
    308,393x = 449,463 × 449,463
  4. Step 4: Simplify right side
    308,393x = 202,016,988,369
  5. Step 5: Solve for x
    x = 202,016,988,369/308,393
  6. Step 6: Final answer
    x = 655,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.