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Finding the Third Proportional to 205,876 and 433,888

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Solution

The third proportional to 205,876 and 433,888 is: 914,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876 : 433,888 = 433,888 : x
  2. Step 2: Convert to fraction form
    205,876/433,888 = 433,888/x
  3. Step 3: Cross multiply
    205,876x = 433,888 × 433,888
  4. Step 4: Simplify right side
    205,876x = 188,258,796,544
  5. Step 5: Solve for x
    x = 188,258,796,544/205,876
  6. Step 6: Final answer
    x = 914,428.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.