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Finding the Third Proportional to 267,273 and 399,600

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Solution

The third proportional to 267,273 and 399,600 is: 597,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,273 : 399,600 = 399,600 : x
  2. Step 2: Convert to fraction form
    267,273/399,600 = 399,600/x
  3. Step 3: Cross multiply
    267,273x = 399,600 × 399,600
  4. Step 4: Simplify right side
    267,273x = 159,680,160,000
  5. Step 5: Solve for x
    x = 159,680,160,000/267,273
  6. Step 6: Final answer
    x = 597,442.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.