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Finding the Third Proportional to 260,310.50 and 393,239.25

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Solution

The third proportional to 260,310.50 and 393,239.25 is: 594,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,310.50 : 393,239.25 = 393,239.25 : x
  2. Step 2: Convert to fraction form
    260,310.50/393,239.25 = 393,239.25/x
  3. Step 3: Cross multiply
    260,310.50x = 393,239.25 × 393,239.25
  4. Step 4: Simplify right side
    260,310.50x = 154,637,107,740.56
  5. Step 5: Solve for x
    x = 154,637,107,740.56/260,310.50
  6. Step 6: Final answer
    x = 594,048.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.