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Finding the Third Proportional to 293,175 and 449,244

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Solution

The third proportional to 293,175 and 449,244 is: 688,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,175 : 449,244 = 449,244 : x
  2. Step 2: Convert to fraction form
    293,175/449,244 = 449,244/x
  3. Step 3: Cross multiply
    293,175x = 449,244 × 449,244
  4. Step 4: Simplify right side
    293,175x = 201,820,171,536
  5. Step 5: Solve for x
    x = 201,820,171,536/293,175
  6. Step 6: Final answer
    x = 688,394.89

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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.