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Finding the Third Proportional to 267,298 and 569,252

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Solution

The third proportional to 267,298 and 569,252 is: 1,212,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,298 : 569,252 = 569,252 : x
  2. Step 2: Convert to fraction form
    267,298/569,252 = 569,252/x
  3. Step 3: Cross multiply
    267,298x = 569,252 × 569,252
  4. Step 4: Simplify right side
    267,298x = 324,047,839,504
  5. Step 5: Solve for x
    x = 324,047,839,504/267,298
  6. Step 6: Final answer
    x = 1,212,309.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.