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Finding the Third Proportional to 267,387 and 401,133

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Solution

The third proportional to 267,387 and 401,133 is: 601,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,387 : 401,133 = 401,133 : x
  2. Step 2: Convert to fraction form
    267,387/401,133 = 401,133/x
  3. Step 3: Cross multiply
    267,387x = 401,133 × 401,133
  4. Step 4: Simplify right side
    267,387x = 160,907,683,689
  5. Step 5: Solve for x
    x = 160,907,683,689/267,387
  6. Step 6: Final answer
    x = 601,778.26

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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.