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Finding the Third Proportional to 189,714 and 439,211

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Solution

The third proportional to 189,714 and 439,211 is: 1,016,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714 : 439,211 = 439,211 : x
  2. Step 2: Convert to fraction form
    189,714/439,211 = 439,211/x
  3. Step 3: Cross multiply
    189,714x = 439,211 × 439,211
  4. Step 4: Simplify right side
    189,714x = 192,906,302,521
  5. Step 5: Solve for x
    x = 192,906,302,521/189,714
  6. Step 6: Final answer
    x = 1,016,826.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.