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Finding the Third Proportional to 267,912 and 401,580

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Solution

The third proportional to 267,912 and 401,580 is: 601,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,912 : 401,580 = 401,580 : x
  2. Step 2: Convert to fraction form
    267,912/401,580 = 401,580/x
  3. Step 3: Cross multiply
    267,912x = 401,580 × 401,580
  4. Step 4: Simplify right side
    267,912x = 161,266,496,400
  5. Step 5: Solve for x
    x = 161,266,496,400/267,912
  6. Step 6: Final answer
    x = 601,938.31

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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.