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Finding the Third Proportional to 267,974.25 and 426,561.38

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Solution

The third proportional to 267,974.25 and 426,561.38 is: 679,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,974.25 : 426,561.38 = 426,561.38 : x
  2. Step 2: Convert to fraction form
    267,974.25/426,561.38 = 426,561.38/x
  3. Step 3: Cross multiply
    267,974.25x = 426,561.38 × 426,561.38
  4. Step 4: Simplify right side
    267,974.25x = 181,954,606,641.89
  5. Step 5: Solve for x
    x = 181,954,606,641.89/267,974.25
  6. Step 6: Final answer
    x = 679,000.34

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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.