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Finding the Third Proportional to 348,016 and 759,950

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Solution

The third proportional to 348,016 and 759,950 is: 1,659,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,016 : 759,950 = 759,950 : x
  2. Step 2: Convert to fraction form
    348,016/759,950 = 759,950/x
  3. Step 3: Cross multiply
    348,016x = 759,950 × 759,950
  4. Step 4: Simplify right side
    348,016x = 577,524,002,500
  5. Step 5: Solve for x
    x = 577,524,002,500/348,016
  6. Step 6: Final answer
    x = 1,659,475.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.