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Finding the Third Proportional to 327,611.75 and 700,764.50

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Solution

The third proportional to 327,611.75 and 700,764.50 is: 1,498,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,611.75 : 700,764.50 = 700,764.50 : x
  2. Step 2: Convert to fraction form
    327,611.75/700,764.50 = 700,764.50/x
  3. Step 3: Cross multiply
    327,611.75x = 700,764.50 × 700,764.50
  4. Step 4: Simplify right side
    327,611.75x = 491,070,884,460.25
  5. Step 5: Solve for x
    x = 491,070,884,460.25/327,611.75
  6. Step 6: Final answer
    x = 1,498,941.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.