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Finding the Third Proportional to 202,613 and 440,902

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Solution

The third proportional to 202,613 and 440,902 is: 959,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,613 : 440,902 = 440,902 : x
  2. Step 2: Convert to fraction form
    202,613/440,902 = 440,902/x
  3. Step 3: Cross multiply
    202,613x = 440,902 × 440,902
  4. Step 4: Simplify right side
    202,613x = 194,394,573,604
  5. Step 5: Solve for x
    x = 194,394,573,604/202,613
  6. Step 6: Final answer
    x = 959,437.81

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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.