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Finding the Third Proportional to 267,600 and 413,392

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Solution

The third proportional to 267,600 and 413,392 is: 638,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,600 : 413,392 = 413,392 : x
  2. Step 2: Convert to fraction form
    267,600/413,392 = 413,392/x
  3. Step 3: Cross multiply
    267,600x = 413,392 × 413,392
  4. Step 4: Simplify right side
    267,600x = 170,892,945,664
  5. Step 5: Solve for x
    x = 170,892,945,664/267,600
  6. Step 6: Final answer
    x = 638,613.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.