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Finding the Third Proportional to 330,731.44 and 701,204.34

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Solution

The third proportional to 330,731.44 and 701,204.34 is: 1,486,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,731.44 : 701,204.34 = 701,204.34 : x
  2. Step 2: Convert to fraction form
    330,731.44/701,204.34 = 701,204.34/x
  3. Step 3: Cross multiply
    330,731.44x = 701,204.34 × 701,204.34
  4. Step 4: Simplify right side
    330,731.44x = 491,687,531,693.87
  5. Step 5: Solve for x
    x = 491,687,531,693.87/330,731.44
  6. Step 6: Final answer
    x = 1,486,667.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.