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Finding the Third Proportional to 205,871 and 433,879

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Solution

The third proportional to 205,871 and 433,879 is: 914,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,871 : 433,879 = 433,879 : x
  2. Step 2: Convert to fraction form
    205,871/433,879 = 433,879/x
  3. Step 3: Cross multiply
    205,871x = 433,879 × 433,879
  4. Step 4: Simplify right side
    205,871x = 188,250,986,641
  5. Step 5: Solve for x
    x = 188,250,986,641/205,871
  6. Step 6: Final answer
    x = 914,412.36

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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.