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Finding the Third Proportional to 205,443 and 416,535.75

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Solution

The third proportional to 205,443 and 416,535.75 is: 844,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443 : 416,535.75 = 416,535.75 : x
  2. Step 2: Convert to fraction form
    205,443/416,535.75 = 416,535.75/x
  3. Step 3: Cross multiply
    205,443x = 416,535.75 × 416,535.75
  4. Step 4: Simplify right side
    205,443x = 173,502,031,028.06
  5. Step 5: Solve for x
    x = 173,502,031,028.06/205,443
  6. Step 6: Final answer
    x = 844,526.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.