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Finding the Third Proportional to 193,864 and 418,862

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Solution

The third proportional to 193,864 and 418,862 is: 904,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,864 : 418,862 = 418,862 : x
  2. Step 2: Convert to fraction form
    193,864/418,862 = 418,862/x
  3. Step 3: Cross multiply
    193,864x = 418,862 × 418,862
  4. Step 4: Simplify right side
    193,864x = 175,445,375,044
  5. Step 5: Solve for x
    x = 175,445,375,044/193,864
  6. Step 6: Final answer
    x = 904,992.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.