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Finding the Third Proportional to 267,384 and 401,128.50

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Solution

The third proportional to 267,384 and 401,128.50 is: 601,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,384 : 401,128.50 = 401,128.50 : x
  2. Step 2: Convert to fraction form
    267,384/401,128.50 = 401,128.50/x
  3. Step 3: Cross multiply
    267,384x = 401,128.50 × 401,128.50
  4. Step 4: Simplify right side
    267,384x = 160,904,073,512.25
  5. Step 5: Solve for x
    x = 160,904,073,512.25/267,384
  6. Step 6: Final answer
    x = 601,771.51

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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.