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Finding the Third Proportional to 267,977 and 426,565

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Solution

The third proportional to 267,977 and 426,565 is: 679,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,977 : 426,565 = 426,565 : x
  2. Step 2: Convert to fraction form
    267,977/426,565 = 426,565/x
  3. Step 3: Cross multiply
    267,977x = 426,565 × 426,565
  4. Step 4: Simplify right side
    267,977x = 181,957,699,225
  5. Step 5: Solve for x
    x = 181,957,699,225/267,977
  6. Step 6: Final answer
    x = 679,004.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.