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Finding the Third Proportional to 293,168 and 638,797

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Solution

The third proportional to 293,168 and 638,797 is: 1,391,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,168 : 638,797 = 638,797 : x
  2. Step 2: Convert to fraction form
    293,168/638,797 = 638,797/x
  3. Step 3: Cross multiply
    293,168x = 638,797 × 638,797
  4. Step 4: Simplify right side
    293,168x = 408,061,607,209
  5. Step 5: Solve for x
    x = 408,061,607,209/293,168
  6. Step 6: Final answer
    x = 1,391,903.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.