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Finding the Third Proportional to 217,796 and 329,977

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Solution

The third proportional to 217,796 and 329,977 is: 499,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796 : 329,977 = 329,977 : x
  2. Step 2: Convert to fraction form
    217,796/329,977 = 329,977/x
  3. Step 3: Cross multiply
    217,796x = 329,977 × 329,977
  4. Step 4: Simplify right side
    217,796x = 108,884,820,529
  5. Step 5: Solve for x
    x = 108,884,820,529/217,796
  6. Step 6: Final answer
    x = 499,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.