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Finding the Third Proportional to 335,319.75 and 653,771.25

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Solution

The third proportional to 335,319.75 and 653,771.25 is: 1,274,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,319.75 : 653,771.25 = 653,771.25 : x
  2. Step 2: Convert to fraction form
    335,319.75/653,771.25 = 653,771.25/x
  3. Step 3: Cross multiply
    335,319.75x = 653,771.25 × 653,771.25
  4. Step 4: Simplify right side
    335,319.75x = 427,416,847,326.56
  5. Step 5: Solve for x
    x = 427,416,847,326.56/335,319.75
  6. Step 6: Final answer
    x = 1,274,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.