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Finding the Third Proportional to 202,624 and 440,924

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Solution

The third proportional to 202,624 and 440,924 is: 959,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,624 : 440,924 = 440,924 : x
  2. Step 2: Convert to fraction form
    202,624/440,924 = 440,924/x
  3. Step 3: Cross multiply
    202,624x = 440,924 × 440,924
  4. Step 4: Simplify right side
    202,624x = 194,413,973,776
  5. Step 5: Solve for x
    x = 194,413,973,776/202,624
  6. Step 6: Final answer
    x = 959,481.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.