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Finding the Third Proportional to 267,009 and 583,254

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Solution

The third proportional to 267,009 and 583,254 is: 1,274,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,009 : 583,254 = 583,254 : x
  2. Step 2: Convert to fraction form
    267,009/583,254 = 583,254/x
  3. Step 3: Cross multiply
    267,009x = 583,254 × 583,254
  4. Step 4: Simplify right side
    267,009x = 340,185,228,516
  5. Step 5: Solve for x
    x = 340,185,228,516/267,009
  6. Step 6: Final answer
    x = 1,274,059.03

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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.