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Finding the Third Proportional to 406,696 and 613,244

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Solution

The third proportional to 406,696 and 613,244 is: 924,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,696 : 613,244 = 613,244 : x
  2. Step 2: Convert to fraction form
    406,696/613,244 = 613,244/x
  3. Step 3: Cross multiply
    406,696x = 613,244 × 613,244
  4. Step 4: Simplify right side
    406,696x = 376,068,203,536
  5. Step 5: Solve for x
    x = 376,068,203,536/406,696
  6. Step 6: Final answer
    x = 924,691.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.