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Finding the Third Proportional to 267,397 and 401,152

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Solution

The third proportional to 267,397 and 401,152 is: 601,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,397 : 401,152 = 401,152 : x
  2. Step 2: Convert to fraction form
    267,397/401,152 = 401,152/x
  3. Step 3: Cross multiply
    267,397x = 401,152 × 401,152
  4. Step 4: Simplify right side
    267,397x = 160,922,927,104
  5. Step 5: Solve for x
    x = 160,922,927,104/267,397
  6. Step 6: Final answer
    x = 601,812.76

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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.