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Finding the Third Proportional to 267,496 and 401,298

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Solution

The third proportional to 267,496 and 401,298 is: 602,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496 : 401,298 = 401,298 : x
  2. Step 2: Convert to fraction form
    267,496/401,298 = 401,298/x
  3. Step 3: Cross multiply
    267,496x = 401,298 × 401,298
  4. Step 4: Simplify right side
    267,496x = 161,040,084,804
  5. Step 5: Solve for x
    x = 161,040,084,804/267,496
  6. Step 6: Final answer
    x = 602,028.01

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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.