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Finding the Third Proportional to 267,916 and 374,586

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Solution

The third proportional to 267,916 and 374,586 is: 523,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916 : 374,586 = 374,586 : x
  2. Step 2: Convert to fraction form
    267,916/374,586 = 374,586/x
  3. Step 3: Cross multiply
    267,916x = 374,586 × 374,586
  4. Step 4: Simplify right side
    267,916x = 140,314,671,396
  5. Step 5: Solve for x
    x = 140,314,671,396/267,916
  6. Step 6: Final answer
    x = 523,726.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.