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Finding the Third Proportional to 367,194 and 806,654

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Solution

The third proportional to 367,194 and 806,654 is: 1,772,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,194 : 806,654 = 806,654 : x
  2. Step 2: Convert to fraction form
    367,194/806,654 = 806,654/x
  3. Step 3: Cross multiply
    367,194x = 806,654 × 806,654
  4. Step 4: Simplify right side
    367,194x = 650,690,675,716
  5. Step 5: Solve for x
    x = 650,690,675,716/367,194
  6. Step 6: Final answer
    x = 1,772,062.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.