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Finding the Third Proportional to 322,080 and 437,376

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Solution

The third proportional to 322,080 and 437,376 is: 593,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,080 : 437,376 = 437,376 : x
  2. Step 2: Convert to fraction form
    322,080/437,376 = 437,376/x
  3. Step 3: Cross multiply
    322,080x = 437,376 × 437,376
  4. Step 4: Simplify right side
    322,080x = 191,297,765,376
  5. Step 5: Solve for x
    x = 191,297,765,376/322,080
  6. Step 6: Final answer
    x = 593,944.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.