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Finding the Third Proportional to 270,265.50 and 414,560.25

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Solution

The third proportional to 270,265.50 and 414,560.25 is: 635,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,265.50 : 414,560.25 = 414,560.25 : x
  2. Step 2: Convert to fraction form
    270,265.50/414,560.25 = 414,560.25/x
  3. Step 3: Cross multiply
    270,265.50x = 414,560.25 × 414,560.25
  4. Step 4: Simplify right side
    270,265.50x = 171,860,200,880.06
  5. Step 5: Solve for x
    x = 171,860,200,880.06/270,265.50
  6. Step 6: Final answer
    x = 635,893.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.