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Finding the Third Proportional to 267,212 and 583,672

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Solution

The third proportional to 267,212 and 583,672 is: 1,274,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,212 : 583,672 = 583,672 : x
  2. Step 2: Convert to fraction form
    267,212/583,672 = 583,672/x
  3. Step 3: Cross multiply
    267,212x = 583,672 × 583,672
  4. Step 4: Simplify right side
    267,212x = 340,673,003,584
  5. Step 5: Solve for x
    x = 340,673,003,584/267,212
  6. Step 6: Final answer
    x = 1,274,916.56

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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.