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Finding the Third Proportional to 196,573 and 418,904

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Solution

The third proportional to 196,573 and 418,904 is: 892,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,573 : 418,904 = 418,904 : x
  2. Step 2: Convert to fraction form
    196,573/418,904 = 418,904/x
  3. Step 3: Cross multiply
    196,573x = 418,904 × 418,904
  4. Step 4: Simplify right side
    196,573x = 175,480,561,216
  5. Step 5: Solve for x
    x = 175,480,561,216/196,573
  6. Step 6: Final answer
    x = 892,699.21

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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.