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Finding the Third Proportional to 260,788.50 and 403,589.25

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Solution

The third proportional to 260,788.50 and 403,589.25 is: 624,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,788.50 : 403,589.25 = 403,589.25 : x
  2. Step 2: Convert to fraction form
    260,788.50/403,589.25 = 403,589.25/x
  3. Step 3: Cross multiply
    260,788.50x = 403,589.25 × 403,589.25
  4. Step 4: Simplify right side
    260,788.50x = 162,884,282,715.56
  5. Step 5: Solve for x
    x = 162,884,282,715.56/260,788.50
  6. Step 6: Final answer
    x = 624,583.84

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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.