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Finding the Third Proportional to 393,682 and 610,756

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Solution

The third proportional to 393,682 and 610,756 is: 947,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,682 : 610,756 = 610,756 : x
  2. Step 2: Convert to fraction form
    393,682/610,756 = 610,756/x
  3. Step 3: Cross multiply
    393,682x = 610,756 × 610,756
  4. Step 4: Simplify right side
    393,682x = 373,022,891,536
  5. Step 5: Solve for x
    x = 373,022,891,536/393,682
  6. Step 6: Final answer
    x = 947,523.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.