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Finding the Third Proportional to 260,853.75 and 414,949.50

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Solution

The third proportional to 260,853.75 and 414,949.50 is: 660,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853.75 : 414,949.50 = 414,949.50 : x
  2. Step 2: Convert to fraction form
    260,853.75/414,949.50 = 414,949.50/x
  3. Step 3: Cross multiply
    260,853.75x = 414,949.50 × 414,949.50
  4. Step 4: Simplify right side
    260,853.75x = 172,183,087,550.25
  5. Step 5: Solve for x
    x = 172,183,087,550.25/260,853.75
  6. Step 6: Final answer
    x = 660,075.19

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Why These Related Problems?

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