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Finding the Third Proportional to 267,002 and 583,237

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Solution

The third proportional to 267,002 and 583,237 is: 1,274,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,002 : 583,237 = 583,237 : x
  2. Step 2: Convert to fraction form
    267,002/583,237 = 583,237/x
  3. Step 3: Cross multiply
    267,002x = 583,237 × 583,237
  4. Step 4: Simplify right side
    267,002x = 340,165,398,169
  5. Step 5: Solve for x
    x = 340,165,398,169/267,002
  6. Step 6: Final answer
    x = 1,274,018.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.