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Finding the Third Proportional to 267,649.31 and 384,706.97

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Solution

The third proportional to 267,649.31 and 384,706.97 is: 552,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,649.31 : 384,706.97 = 384,706.97 : x
  2. Step 2: Convert to fraction form
    267,649.31/384,706.97 = 384,706.97/x
  3. Step 3: Cross multiply
    267,649.31x = 384,706.97 × 384,706.97
  4. Step 4: Simplify right side
    267,649.31x = 147,999,451,804.81
  5. Step 5: Solve for x
    x = 147,999,451,804.81/267,649.31
  6. Step 6: Final answer
    x = 552,960.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.