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Finding the Third Proportional to 267,961.88 and 426,542.81

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Solution

The third proportional to 267,961.88 and 426,542.81 is: 678,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,961.88 : 426,542.81 = 426,542.81 : x
  2. Step 2: Convert to fraction form
    267,961.88/426,542.81 = 426,542.81/x
  3. Step 3: Cross multiply
    267,961.88x = 426,542.81 × 426,542.81
  4. Step 4: Simplify right side
    267,961.88x = 181,938,770,895.41
  5. Step 5: Solve for x
    x = 181,938,770,895.41/267,961.88
  6. Step 6: Final answer
    x = 678,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.