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Finding the Third Proportional to 267,462 and 539,298

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Solution

The third proportional to 267,462 and 539,298 is: 1,087,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,462 : 539,298 = 539,298 : x
  2. Step 2: Convert to fraction form
    267,462/539,298 = 539,298/x
  3. Step 3: Cross multiply
    267,462x = 539,298 × 539,298
  4. Step 4: Simplify right side
    267,462x = 290,842,332,804
  5. Step 5: Solve for x
    x = 290,842,332,804/267,462
  6. Step 6: Final answer
    x = 1,087,415.53

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.