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Finding the Third Proportional to 202,879 and 433,898

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Solution

The third proportional to 202,879 and 433,898 is: 927,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,879 : 433,898 = 433,898 : x
  2. Step 2: Convert to fraction form
    202,879/433,898 = 433,898/x
  3. Step 3: Cross multiply
    202,879x = 433,898 × 433,898
  4. Step 4: Simplify right side
    202,879x = 188,267,474,404
  5. Step 5: Solve for x
    x = 188,267,474,404/202,879
  6. Step 6: Final answer
    x = 927,979.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.