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Finding the Third Proportional to 327,615.75 and 700,772.88

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Solution

The third proportional to 327,615.75 and 700,772.88 is: 1,498,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,615.75 : 700,772.88 = 700,772.88 : x
  2. Step 2: Convert to fraction form
    327,615.75/700,772.88 = 700,772.88/x
  3. Step 3: Cross multiply
    327,615.75x = 700,772.88 × 700,772.88
  4. Step 4: Simplify right side
    327,615.75x = 491,082,622,335.77
  5. Step 5: Solve for x
    x = 491,082,622,335.77/327,615.75
  6. Step 6: Final answer
    x = 1,498,959.14

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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.