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Finding the Third Proportional to 260,880.75 and 414,987.75

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Solution

The third proportional to 260,880.75 and 414,987.75 is: 660,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,880.75 : 414,987.75 = 414,987.75 : x
  2. Step 2: Convert to fraction form
    260,880.75/414,987.75 = 414,987.75/x
  3. Step 3: Cross multiply
    260,880.75x = 414,987.75 × 414,987.75
  4. Step 4: Simplify right side
    260,880.75x = 172,214,832,650.06
  5. Step 5: Solve for x
    x = 172,214,832,650.06/260,880.75
  6. Step 6: Final answer
    x = 660,128.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.