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Finding the Third Proportional to 393,715 and 813,676

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Solution

The third proportional to 393,715 and 813,676 is: 1,681,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,715 : 813,676 = 813,676 : x
  2. Step 2: Convert to fraction form
    393,715/813,676 = 813,676/x
  3. Step 3: Cross multiply
    393,715x = 813,676 × 813,676
  4. Step 4: Simplify right side
    393,715x = 662,068,632,976
  5. Step 5: Solve for x
    x = 662,068,632,976/393,715
  6. Step 6: Final answer
    x = 1,681,593.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.