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Finding the Third Proportional to 205,764 and 450,920

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Solution

The third proportional to 205,764 and 450,920 is: 988,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,764 : 450,920 = 450,920 : x
  2. Step 2: Convert to fraction form
    205,764/450,920 = 450,920/x
  3. Step 3: Cross multiply
    205,764x = 450,920 × 450,920
  4. Step 4: Simplify right side
    205,764x = 203,328,846,400
  5. Step 5: Solve for x
    x = 203,328,846,400/205,764
  6. Step 6: Final answer
    x = 988,165.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.