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Finding the Third Proportional to 196,592 and 418,924

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Solution

The third proportional to 196,592 and 418,924 is: 892,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,592 : 418,924 = 418,924 : x
  2. Step 2: Convert to fraction form
    196,592/418,924 = 418,924/x
  3. Step 3: Cross multiply
    196,592x = 418,924 × 418,924
  4. Step 4: Simplify right side
    196,592x = 175,497,317,776
  5. Step 5: Solve for x
    x = 175,497,317,776/196,592
  6. Step 6: Final answer
    x = 892,698.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.