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Finding the Third Proportional to 267,635.25 and 391,401

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Solution

The third proportional to 267,635.25 and 391,401 is: 572,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,635.25 : 391,401 = 391,401 : x
  2. Step 2: Convert to fraction form
    267,635.25/391,401 = 391,401/x
  3. Step 3: Cross multiply
    267,635.25x = 391,401 × 391,401
  4. Step 4: Simplify right side
    267,635.25x = 153,194,742,801
  5. Step 5: Solve for x
    x = 153,194,742,801/267,635.25
  6. Step 6: Final answer
    x = 572,401.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.