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Finding the Third Proportional to 395,788 and 593,682

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Solution

The third proportional to 395,788 and 593,682 is: 890,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,788 : 593,682 = 593,682 : x
  2. Step 2: Convert to fraction form
    395,788/593,682 = 593,682/x
  3. Step 3: Cross multiply
    395,788x = 593,682 × 593,682
  4. Step 4: Simplify right side
    395,788x = 352,458,317,124
  5. Step 5: Solve for x
    x = 352,458,317,124/395,788
  6. Step 6: Final answer
    x = 890,523

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.