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Finding the Third Proportional to 409 and 934

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Solution

The third proportional to 409 and 934 is: 2,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 934 = 934 : x
  2. Step 2: Convert to fraction form
    409/934 = 934/x
  3. Step 3: Cross multiply
    409x = 934 × 934
  4. Step 4: Simplify right side
    409x = 872,356
  5. Step 5: Solve for x
    x = 872,356/409
  6. Step 6: Final answer
    x = 2,132.90

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.