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Finding the Third Proportional to 331,119.56 and 701,682.75

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Solution

The third proportional to 331,119.56 and 701,682.75 is: 1,486,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,119.56 : 701,682.75 = 701,682.75 : x
  2. Step 2: Convert to fraction form
    331,119.56/701,682.75 = 701,682.75/x
  3. Step 3: Cross multiply
    331,119.56x = 701,682.75 × 701,682.75
  4. Step 4: Simplify right side
    331,119.56x = 492,358,681,647.56
  5. Step 5: Solve for x
    x = 492,358,681,647.56/331,119.56
  6. Step 6: Final answer
    x = 1,486,951.35

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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.