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Finding the Third Proportional to 331,322 and 441,432

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Solution

The third proportional to 331,322 and 441,432 is: 588,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,322 : 441,432 = 441,432 : x
  2. Step 2: Convert to fraction form
    331,322/441,432 = 441,432/x
  3. Step 3: Cross multiply
    331,322x = 441,432 × 441,432
  4. Step 4: Simplify right side
    331,322x = 194,862,210,624
  5. Step 5: Solve for x
    x = 194,862,210,624/331,322
  6. Step 6: Final answer
    x = 588,135.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.