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Finding the Third Proportional to 260,379 and 405,793.13

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Solution

The third proportional to 260,379 and 405,793.13 is: 632,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,379 : 405,793.13 = 405,793.13 : x
  2. Step 2: Convert to fraction form
    260,379/405,793.13 = 405,793.13/x
  3. Step 3: Cross multiply
    260,379x = 405,793.13 × 405,793.13
  4. Step 4: Simplify right side
    260,379x = 164,668,060,297.27
  5. Step 5: Solve for x
    x = 164,668,060,297.27/260,379
  6. Step 6: Final answer
    x = 632,416.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.