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Finding the Third Proportional to 196,971 and 418,566

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Solution

The third proportional to 196,971 and 418,566 is: 889,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,971 : 418,566 = 418,566 : x
  2. Step 2: Convert to fraction form
    196,971/418,566 = 418,566/x
  3. Step 3: Cross multiply
    196,971x = 418,566 × 418,566
  4. Step 4: Simplify right side
    196,971x = 175,197,496,356
  5. Step 5: Solve for x
    x = 175,197,496,356/196,971
  6. Step 6: Final answer
    x = 889,458.33

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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.