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Finding the Third Proportional to 293,578 and 449,844

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Solution

The third proportional to 293,578 and 449,844 is: 689,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,578 : 449,844 = 449,844 : x
  2. Step 2: Convert to fraction form
    293,578/449,844 = 449,844/x
  3. Step 3: Cross multiply
    293,578x = 449,844 × 449,844
  4. Step 4: Simplify right side
    293,578x = 202,359,624,336
  5. Step 5: Solve for x
    x = 202,359,624,336/293,578
  6. Step 6: Final answer
    x = 689,287.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.